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Finding the Fourth Proportional to 154.29, 212.89 and 88.78

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Solution

The fourth proportional to 154.29, 212.89 and 88.78 is: 122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.29 : 212.89 = 88.78 : x
  2. Step 2: Convert to fraction form
    154.29/212.89 = 88.78/x
  3. Step 3: Cross multiply
    154.29x = 212.89 × 88.78
  4. Step 4: Simplify right side
    154.29x = 18,900.37
  5. Step 5: Solve for x
    x = 18,900.37/154.29
  6. Step 6: Final answer
    x = 122.50

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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.