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Finding the Fourth Proportional to 165.72, 247.02 and 159.24

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Solution

The fourth proportional to 165.72, 247.02 and 159.24 is: 237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.72 : 247.02 = 159.24 : x
  2. Step 2: Convert to fraction form
    165.72/247.02 = 159.24/x
  3. Step 3: Cross multiply
    165.72x = 247.02 × 159.24
  4. Step 4: Simplify right side
    165.72x = 39,335.46
  5. Step 5: Solve for x
    x = 39,335.46/165.72
  6. Step 6: Final answer
    x = 237.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.