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Finding the Fourth Proportional to 154.40, 213.08 and 88.93

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Solution

The fourth proportional to 154.40, 213.08 and 88.93 is: 122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.40 : 213.08 = 88.93 : x
  2. Step 2: Convert to fraction form
    154.40/213.08 = 88.93/x
  3. Step 3: Cross multiply
    154.40x = 213.08 × 88.93
  4. Step 4: Simplify right side
    154.40x = 18,948.23
  5. Step 5: Solve for x
    x = 18,948.23/154.40
  6. Step 6: Final answer
    x = 122.72

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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.