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Finding the Fourth Proportional to 98.50, 147.66 and 62.32

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Solution

The fourth proportional to 98.50, 147.66 and 62.32 is: 93.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.50 : 147.66 = 62.32 : x
  2. Step 2: Convert to fraction form
    98.50/147.66 = 62.32/x
  3. Step 3: Cross multiply
    98.50x = 147.66 × 62.32
  4. Step 4: Simplify right side
    98.50x = 9,202.17
  5. Step 5: Solve for x
    x = 9,202.17/98.50
  6. Step 6: Final answer
    x = 93.42

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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.