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Finding the Fourth Proportional to 165.57, 247.15 and 142.89

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Solution

The fourth proportional to 165.57, 247.15 and 142.89 is: 213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.57 : 247.15 = 142.89 : x
  2. Step 2: Convert to fraction form
    165.57/247.15 = 142.89/x
  3. Step 3: Cross multiply
    165.57x = 247.15 × 142.89
  4. Step 4: Simplify right side
    165.57x = 35,315.26
  5. Step 5: Solve for x
    x = 35,315.26/165.57
  6. Step 6: Final answer
    x = 213.30

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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.