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Finding the Fourth Proportional to 165.47, 247.93 and 139.82

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Solution

The fourth proportional to 165.47, 247.93 and 139.82 is: 209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.47 : 247.93 = 139.82 : x
  2. Step 2: Convert to fraction form
    165.47/247.93 = 139.82/x
  3. Step 3: Cross multiply
    165.47x = 247.93 × 139.82
  4. Step 4: Simplify right side
    165.47x = 34,663.98
  5. Step 5: Solve for x
    x = 34,663.98/165.47
  6. Step 6: Final answer
    x = 209.49

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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.