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Finding the Fourth Proportional to 157.88, 218.08 and 129.12

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Solution

The fourth proportional to 157.88, 218.08 and 129.12 is: 178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.88 : 218.08 = 129.12 : x
  2. Step 2: Convert to fraction form
    157.88/218.08 = 129.12/x
  3. Step 3: Cross multiply
    157.88x = 218.08 × 129.12
  4. Step 4: Simplify right side
    157.88x = 28,158.49
  5. Step 5: Solve for x
    x = 28,158.49/157.88
  6. Step 6: Final answer
    x = 178.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.