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Finding the Fourth Proportional to 108.42, 149.62 and 59.30

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Solution

The fourth proportional to 108.42, 149.62 and 59.30 is: 81.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.42 : 149.62 = 59.30 : x
  2. Step 2: Convert to fraction form
    108.42/149.62 = 59.30/x
  3. Step 3: Cross multiply
    108.42x = 149.62 × 59.30
  4. Step 4: Simplify right side
    108.42x = 8,871.65
  5. Step 5: Solve for x
    x = 8,871.65/108.42
  6. Step 6: Final answer
    x = 81.83

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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.