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Finding the Fourth Proportional to 158.78, 219.15 and 93.29

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Solution

The fourth proportional to 158.78, 219.15 and 93.29 is: 128.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.78 : 219.15 = 93.29 : x
  2. Step 2: Convert to fraction form
    158.78/219.15 = 93.29/x
  3. Step 3: Cross multiply
    158.78x = 219.15 × 93.29
  4. Step 4: Simplify right side
    158.78x = 20,443.41
  5. Step 5: Solve for x
    x = 20,443.41/158.78
  6. Step 6: Final answer
    x = 128.75

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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.