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Finding the Fourth Proportional to 160.88, 242.28 and 140.84

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Solution

The fourth proportional to 160.88, 242.28 and 140.84 is: 212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.88 : 242.28 = 140.84 : x
  2. Step 2: Convert to fraction form
    160.88/242.28 = 140.84/x
  3. Step 3: Cross multiply
    160.88x = 242.28 × 140.84
  4. Step 4: Simplify right side
    160.88x = 34,122.72
  5. Step 5: Solve for x
    x = 34,122.72/160.88
  6. Step 6: Final answer
    x = 212.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.