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Finding the Fourth Proportional to 332.26, 498.69 and 312.42

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Solution

The fourth proportional to 332.26, 498.69 and 312.42 is: 468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.26 : 498.69 = 312.42 : x
  2. Step 2: Convert to fraction form
    332.26/498.69 = 312.42/x
  3. Step 3: Cross multiply
    332.26x = 498.69 × 312.42
  4. Step 4: Simplify right side
    332.26x = 155,800.73
  5. Step 5: Solve for x
    x = 155,800.73/332.26
  6. Step 6: Final answer
    x = 468.91

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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.