Home / 229.70-316.90-164.09

Finding the Fourth Proportional to 229.70, 316.90 and 164.09

Calculator

Solution

The fourth proportional to 229.70, 316.90 and 164.09 is: 226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.70 : 316.90 = 164.09 : x
  2. Step 2: Convert to fraction form
    229.70/316.90 = 164.09/x
  3. Step 3: Cross multiply
    229.70x = 316.90 × 164.09
  4. Step 4: Simplify right side
    229.70x = 52,000.12
  5. Step 5: Solve for x
    x = 52,000.12/229.70
  6. Step 6: Final answer
    x = 226.38

Related Problems

Find fourth proportional to 114.85, 158.45 and 82.05
Half scale
Find fourth proportional to 459.40, 633.80 and 328.18
Double scale
Find fourth proportional to 230.70, 318.28 and 165.09
Similar ratio
Find fourth proportional to 344.55, 475.35 and 246.14
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.