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Finding the Fourth Proportional to 103.32, 154.76 and 87.23

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Solution

The fourth proportional to 103.32, 154.76 and 87.23 is: 130.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.32 : 154.76 = 87.23 : x
  2. Step 2: Convert to fraction form
    103.32/154.76 = 87.23/x
  3. Step 3: Cross multiply
    103.32x = 154.76 × 87.23
  4. Step 4: Simplify right side
    103.32x = 13,499.71
  5. Step 5: Solve for x
    x = 13,499.71/103.32
  6. Step 6: Final answer
    x = 130.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.