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Finding the Fourth Proportional to 103.30, 153.89 and 100.48

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Solution

The fourth proportional to 103.30, 153.89 and 100.48 is: 149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.30 : 153.89 = 100.48 : x
  2. Step 2: Convert to fraction form
    103.30/153.89 = 100.48/x
  3. Step 3: Cross multiply
    103.30x = 153.89 × 100.48
  4. Step 4: Simplify right side
    103.30x = 15,462.87
  5. Step 5: Solve for x
    x = 15,462.87/103.30
  6. Step 6: Final answer
    x = 149.69

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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.