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Finding the Fourth Proportional to 103.06, 153.19 and 100.29

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Solution

The fourth proportional to 103.06, 153.19 and 100.29 is: 149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.06 : 153.19 = 100.29 : x
  2. Step 2: Convert to fraction form
    103.06/153.19 = 100.29/x
  3. Step 3: Cross multiply
    103.06x = 153.19 × 100.29
  4. Step 4: Simplify right side
    103.06x = 15,363.43
  5. Step 5: Solve for x
    x = 15,363.43/103.06
  6. Step 6: Final answer
    x = 149.07

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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.