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Finding the Fourth Proportional to 161.47, 240.86 and 156.15

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Solution

The fourth proportional to 161.47, 240.86 and 156.15 is: 232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.47 : 240.86 = 156.15 : x
  2. Step 2: Convert to fraction form
    161.47/240.86 = 156.15/x
  3. Step 3: Cross multiply
    161.47x = 240.86 × 156.15
  4. Step 4: Simplify right side
    161.47x = 37,610.29
  5. Step 5: Solve for x
    x = 37,610.29/161.47
  6. Step 6: Final answer
    x = 232.92

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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.