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Finding the Fourth Proportional to 158.14, 216.56 and 157.60

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Solution

The fourth proportional to 158.14, 216.56 and 157.60 is: 215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.14 : 216.56 = 157.60 : x
  2. Step 2: Convert to fraction form
    158.14/216.56 = 157.60/x
  3. Step 3: Cross multiply
    158.14x = 216.56 × 157.60
  4. Step 4: Simplify right side
    158.14x = 34,129.86
  5. Step 5: Solve for x
    x = 34,129.86/158.14
  6. Step 6: Final answer
    x = 215.82

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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.