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Finding the Fourth Proportional to 60.99, 84.07 and 42.53

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Solution

The fourth proportional to 60.99, 84.07 and 42.53 is: 58.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.99 : 84.07 = 42.53 : x
  2. Step 2: Convert to fraction form
    60.99/84.07 = 42.53/x
  3. Step 3: Cross multiply
    60.99x = 84.07 × 42.53
  4. Step 4: Simplify right side
    60.99x = 3,575.50
  5. Step 5: Solve for x
    x = 3,575.50/60.99
  6. Step 6: Final answer
    x = 58.62

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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.