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Finding the Fourth Proportional to 187.50, 281.32 and 64.13

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Solution

The fourth proportional to 187.50, 281.32 and 64.13 is: 96.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.50 : 281.32 = 64.13 : x
  2. Step 2: Convert to fraction form
    187.50/281.32 = 64.13/x
  3. Step 3: Cross multiply
    187.50x = 281.32 × 64.13
  4. Step 4: Simplify right side
    187.50x = 18,039.48
  5. Step 5: Solve for x
    x = 18,039.48/187.50
  6. Step 6: Final answer
    x = 96.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.