Home / 262.32-361.89-164.14

Finding the Fourth Proportional to 262.32, 361.89 and 164.14

Calculator

Solution

The fourth proportional to 262.32, 361.89 and 164.14 is: 226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.32 : 361.89 = 164.14 : x
  2. Step 2: Convert to fraction form
    262.32/361.89 = 164.14/x
  3. Step 3: Cross multiply
    262.32x = 361.89 × 164.14
  4. Step 4: Simplify right side
    262.32x = 59,399.72
  5. Step 5: Solve for x
    x = 59,399.72/262.32
  6. Step 6: Final answer
    x = 226.44

Related Problems

Find fourth proportional to 131.16, 180.95 and 82.07
Half scale
Find fourth proportional to 524.63, 723.78 and 328.28
Double scale
Find fourth proportional to 263.32, 363.27 and 165.14
Similar ratio
Find fourth proportional to 393.47, 542.84 and 246.21
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.