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Finding the Fourth Proportional to 135.91, 187.50 and 89.32

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Solution

The fourth proportional to 135.91, 187.50 and 89.32 is: 123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.91 : 187.50 = 89.32 : x
  2. Step 2: Convert to fraction form
    135.91/187.50 = 89.32/x
  3. Step 3: Cross multiply
    135.91x = 187.50 × 89.32
  4. Step 4: Simplify right side
    135.91x = 16,747.50
  5. Step 5: Solve for x
    x = 16,747.50/135.91
  6. Step 6: Final answer
    x = 123.22

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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.