Home / 294.99-407.08-164

Finding the Fourth Proportional to 294.99, 407.08 and 164

Calculator

Solution

The fourth proportional to 294.99, 407.08 and 164 is: 226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.99 : 407.08 = 164 : x
  2. Step 2: Convert to fraction form
    294.99/407.08 = 164/x
  3. Step 3: Cross multiply
    294.99x = 407.08 × 164
  4. Step 4: Simplify right side
    294.99x = 66,761.12
  5. Step 5: Solve for x
    x = 66,761.12/294.99
  6. Step 6: Final answer
    x = 226.32

Related Problems

Find fourth proportional to 147.50, 203.54 and 82
Half scale
Find fourth proportional to 589.98, 814.16 and 328
Double scale
Find fourth proportional to 295.99, 408.46 and 165
Similar ratio
Find fourth proportional to 442.49, 610.62 and 246
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.