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Finding the Fourth Proportional to 160.52, 242.07 and 158.36

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Solution

The fourth proportional to 160.52, 242.07 and 158.36 is: 238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.52 : 242.07 = 158.36 : x
  2. Step 2: Convert to fraction form
    160.52/242.07 = 158.36/x
  3. Step 3: Cross multiply
    160.52x = 242.07 × 158.36
  4. Step 4: Simplify right side
    160.52x = 38,332.99
  5. Step 5: Solve for x
    x = 38,332.99/160.52
  6. Step 6: Final answer
    x = 238.80

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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.