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Finding the Fourth Proportional to 156.15, 234.03 and 74.97

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Solution

The fourth proportional to 156.15, 234.03 and 74.97 is: 112.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.15 : 234.03 = 74.97 : x
  2. Step 2: Convert to fraction form
    156.15/234.03 = 74.97/x
  3. Step 3: Cross multiply
    156.15x = 234.03 × 74.97
  4. Step 4: Simplify right side
    156.15x = 17,545.23
  5. Step 5: Solve for x
    x = 17,545.23/156.15
  6. Step 6: Final answer
    x = 112.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.