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Finding the Fourth Proportional to 165.93, 247.68 and 153.87

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Solution

The fourth proportional to 165.93, 247.68 and 153.87 is: 229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.93 : 247.68 = 153.87 : x
  2. Step 2: Convert to fraction form
    165.93/247.68 = 153.87/x
  3. Step 3: Cross multiply
    165.93x = 247.68 × 153.87
  4. Step 4: Simplify right side
    165.93x = 38,110.52
  5. Step 5: Solve for x
    x = 38,110.52/165.93
  6. Step 6: Final answer
    x = 229.68

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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.