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Finding the Fourth Proportional to 60.35, 82.53 and 59.40

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Solution

The fourth proportional to 60.35, 82.53 and 59.40 is: 81.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.35 : 82.53 = 59.40 : x
  2. Step 2: Convert to fraction form
    60.35/82.53 = 59.40/x
  3. Step 3: Cross multiply
    60.35x = 82.53 × 59.40
  4. Step 4: Simplify right side
    60.35x = 4,902.28
  5. Step 5: Solve for x
    x = 4,902.28/60.35
  6. Step 6: Final answer
    x = 81.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.