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Finding the Fourth Proportional to 157.76, 216.50 and 141.86

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Solution

The fourth proportional to 157.76, 216.50 and 141.86 is: 194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.76 : 216.50 = 141.86 : x
  2. Step 2: Convert to fraction form
    157.76/216.50 = 141.86/x
  3. Step 3: Cross multiply
    157.76x = 216.50 × 141.86
  4. Step 4: Simplify right side
    157.76x = 30,712.69
  5. Step 5: Solve for x
    x = 30,712.69/157.76
  6. Step 6: Final answer
    x = 194.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.