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Finding the Fourth Proportional to 160.79, 239.88 and 147.58

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Solution

The fourth proportional to 160.79, 239.88 and 147.58 is: 220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.79 : 239.88 = 147.58 : x
  2. Step 2: Convert to fraction form
    160.79/239.88 = 147.58/x
  3. Step 3: Cross multiply
    160.79x = 239.88 × 147.58
  4. Step 4: Simplify right side
    160.79x = 35,400.48
  5. Step 5: Solve for x
    x = 35,400.48/160.79
  6. Step 6: Final answer
    x = 220.17

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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.