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Finding the Fourth Proportional to 99.50, 137.33 and 64.53

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Solution

The fourth proportional to 99.50, 137.33 and 64.53 is: 89.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.50 : 137.33 = 64.53 : x
  2. Step 2: Convert to fraction form
    99.50/137.33 = 64.53/x
  3. Step 3: Cross multiply
    99.50x = 137.33 × 64.53
  4. Step 4: Simplify right side
    99.50x = 8,862.07
  5. Step 5: Solve for x
    x = 8,862.07/99.50
  6. Step 6: Final answer
    x = 89.06

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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.