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Finding the Fourth Proportional to 332.83, 498.77 and 149.91

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Solution

The fourth proportional to 332.83, 498.77 and 149.91 is: 224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.83 : 498.77 = 149.91 : x
  2. Step 2: Convert to fraction form
    332.83/498.77 = 149.91/x
  3. Step 3: Cross multiply
    332.83x = 498.77 × 149.91
  4. Step 4: Simplify right side
    332.83x = 74,770.61
  5. Step 5: Solve for x
    x = 74,770.61/332.83
  6. Step 6: Final answer
    x = 224.65

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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.