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Finding the Fourth Proportional to 157.52, 218.84 and 156.11

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Solution

The fourth proportional to 157.52, 218.84 and 156.11 is: 216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.52 : 218.84 = 156.11 : x
  2. Step 2: Convert to fraction form
    157.52/218.84 = 156.11/x
  3. Step 3: Cross multiply
    157.52x = 218.84 × 156.11
  4. Step 4: Simplify right side
    157.52x = 34,163.11
  5. Step 5: Solve for x
    x = 34,163.11/157.52
  6. Step 6: Final answer
    x = 216.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.