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Finding the Fourth Proportional to 60.51, 90.24 and 57.14

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Solution

The fourth proportional to 60.51, 90.24 and 57.14 is: 85.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.51 : 90.24 = 57.14 : x
  2. Step 2: Convert to fraction form
    60.51/90.24 = 57.14/x
  3. Step 3: Cross multiply
    60.51x = 90.24 × 57.14
  4. Step 4: Simplify right side
    60.51x = 5,155.86
  5. Step 5: Solve for x
    x = 5,155.86/60.51
  6. Step 6: Final answer
    x = 85.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.