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Finding the Fourth Proportional to 239.04, 358.48 and 147.78

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Solution

The fourth proportional to 239.04, 358.48 and 147.78 is: 221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.04 : 358.48 = 147.78 : x
  2. Step 2: Convert to fraction form
    239.04/358.48 = 147.78/x
  3. Step 3: Cross multiply
    239.04x = 358.48 × 147.78
  4. Step 4: Simplify right side
    239.04x = 52,976.17
  5. Step 5: Solve for x
    x = 52,976.17/239.04
  6. Step 6: Final answer
    x = 221.62

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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.