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Finding the Fourth Proportional to 457.56, 685.88 and 149.18

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Solution

The fourth proportional to 457.56, 685.88 and 149.18 is: 223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.56 : 685.88 = 149.18 : x
  2. Step 2: Convert to fraction form
    457.56/685.88 = 149.18/x
  3. Step 3: Cross multiply
    457.56x = 685.88 × 149.18
  4. Step 4: Simplify right side
    457.56x = 102,319.58
  5. Step 5: Solve for x
    x = 102,319.58/457.56
  6. Step 6: Final answer
    x = 223.62

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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.