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Finding the Fourth Proportional to 160.20, 239.08 and 156.08

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Solution

The fourth proportional to 160.20, 239.08 and 156.08 is: 232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.20 : 239.08 = 156.08 : x
  2. Step 2: Convert to fraction form
    160.20/239.08 = 156.08/x
  3. Step 3: Cross multiply
    160.20x = 239.08 × 156.08
  4. Step 4: Simplify right side
    160.20x = 37,315.61
  5. Step 5: Solve for x
    x = 37,315.61/160.20
  6. Step 6: Final answer
    x = 232.93

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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.