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Finding the Fourth Proportional to 372.92, 559.64 and 153.74

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Solution

The fourth proportional to 372.92, 559.64 and 153.74 is: 230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.92 : 559.64 = 153.74 : x
  2. Step 2: Convert to fraction form
    372.92/559.64 = 153.74/x
  3. Step 3: Cross multiply
    372.92x = 559.64 × 153.74
  4. Step 4: Simplify right side
    372.92x = 86,038.61
  5. Step 5: Solve for x
    x = 86,038.61/372.92
  6. Step 6: Final answer
    x = 230.72

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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.