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Finding the Fourth Proportional to 158.56, 217.35 and 158.32

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Solution

The fourth proportional to 158.56, 217.35 and 158.32 is: 217.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.56 : 217.35 = 158.32 : x
  2. Step 2: Convert to fraction form
    158.56/217.35 = 158.32/x
  3. Step 3: Cross multiply
    158.56x = 217.35 × 158.32
  4. Step 4: Simplify right side
    158.56x = 34,410.85
  5. Step 5: Solve for x
    x = 34,410.85/158.56
  6. Step 6: Final answer
    x = 217.02

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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.