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Finding the Fourth Proportional to 103.05, 153.83 and 87.66

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Solution

The fourth proportional to 103.05, 153.83 and 87.66 is: 130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.05 : 153.83 = 87.66 : x
  2. Step 2: Convert to fraction form
    103.05/153.83 = 87.66/x
  3. Step 3: Cross multiply
    103.05x = 153.83 × 87.66
  4. Step 4: Simplify right side
    103.05x = 13,484.30
  5. Step 5: Solve for x
    x = 13,484.30/103.05
  6. Step 6: Final answer
    x = 130.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.