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Finding the Fourth Proportional to 437.52, 656.19 and 148.86

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Solution

The fourth proportional to 437.52, 656.19 and 148.86 is: 223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.52 : 656.19 = 148.86 : x
  2. Step 2: Convert to fraction form
    437.52/656.19 = 148.86/x
  3. Step 3: Cross multiply
    437.52x = 656.19 × 148.86
  4. Step 4: Simplify right side
    437.52x = 97,680.44
  5. Step 5: Solve for x
    x = 97,680.44/437.52
  6. Step 6: Final answer
    x = 223.26

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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.