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Finding the Fourth Proportional to 158.32, 219.68 and 156.24

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Solution

The fourth proportional to 158.32, 219.68 and 156.24 is: 216.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.32 : 219.68 = 156.24 : x
  2. Step 2: Convert to fraction form
    158.32/219.68 = 156.24/x
  3. Step 3: Cross multiply
    158.32x = 219.68 × 156.24
  4. Step 4: Simplify right side
    158.32x = 34,322.80
  5. Step 5: Solve for x
    x = 34,322.80/158.32
  6. Step 6: Final answer
    x = 216.79

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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.