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Finding the Fourth Proportional to 332.78, 499.14 and 159.50

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Solution

The fourth proportional to 332.78, 499.14 and 159.50 is: 239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.78 : 499.14 = 159.50 : x
  2. Step 2: Convert to fraction form
    332.78/499.14 = 159.50/x
  3. Step 3: Cross multiply
    332.78x = 499.14 × 159.50
  4. Step 4: Simplify right side
    332.78x = 79,612.83
  5. Step 5: Solve for x
    x = 79,612.83/332.78
  6. Step 6: Final answer
    x = 239.24

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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.