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Finding the Fourth Proportional to 332.10, 497.78 and 123.72

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Solution

The fourth proportional to 332.10, 497.78 and 123.72 is: 185.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.10 : 497.78 = 123.72 : x
  2. Step 2: Convert to fraction form
    332.10/497.78 = 123.72/x
  3. Step 3: Cross multiply
    332.10x = 497.78 × 123.72
  4. Step 4: Simplify right side
    332.10x = 61,585.34
  5. Step 5: Solve for x
    x = 61,585.34/332.10
  6. Step 6: Final answer
    x = 185.44

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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.