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Finding the Fourth Proportional to 60.43, 90.20 and 54.36

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Solution

The fourth proportional to 60.43, 90.20 and 54.36 is: 81.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.43 : 90.20 = 54.36 : x
  2. Step 2: Convert to fraction form
    60.43/90.20 = 54.36/x
  3. Step 3: Cross multiply
    60.43x = 90.20 × 54.36
  4. Step 4: Simplify right side
    60.43x = 4,903.27
  5. Step 5: Solve for x
    x = 4,903.27/60.43
  6. Step 6: Final answer
    x = 81.14

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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.