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Finding the Fourth Proportional to 160.64, 240.56 and 102.69

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Solution

The fourth proportional to 160.64, 240.56 and 102.69 is: 153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.64 : 240.56 = 102.69 : x
  2. Step 2: Convert to fraction form
    160.64/240.56 = 102.69/x
  3. Step 3: Cross multiply
    160.64x = 240.56 × 102.69
  4. Step 4: Simplify right side
    160.64x = 24,702.59
  5. Step 5: Solve for x
    x = 24,702.59/160.64
  6. Step 6: Final answer
    x = 153.78

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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.