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Finding the Fourth Proportional to 157.96, 237.21 and 117.46

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Solution

The fourth proportional to 157.96, 237.21 and 117.46 is: 176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.96 : 237.21 = 117.46 : x
  2. Step 2: Convert to fraction form
    157.96/237.21 = 117.46/x
  3. Step 3: Cross multiply
    157.96x = 237.21 × 117.46
  4. Step 4: Simplify right side
    157.96x = 27,862.69
  5. Step 5: Solve for x
    x = 27,862.69/157.96
  6. Step 6: Final answer
    x = 176.39

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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.