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Finding the Fourth Proportional to 105.50, 158.02 and 64.87

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Solution

The fourth proportional to 105.50, 158.02 and 64.87 is: 97.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.50 : 158.02 = 64.87 : x
  2. Step 2: Convert to fraction form
    105.50/158.02 = 64.87/x
  3. Step 3: Cross multiply
    105.50x = 158.02 × 64.87
  4. Step 4: Simplify right side
    105.50x = 10,250.20
  5. Step 5: Solve for x
    x = 10,250.20/105.50
  6. Step 6: Final answer
    x = 97.16

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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.