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Finding the Fourth Proportional to 104.30, 155.13 and 102.25

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Solution

The fourth proportional to 104.30, 155.13 and 102.25 is: 152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.30 : 155.13 = 102.25 : x
  2. Step 2: Convert to fraction form
    104.30/155.13 = 102.25/x
  3. Step 3: Cross multiply
    104.30x = 155.13 × 102.25
  4. Step 4: Simplify right side
    104.30x = 15,861.46
  5. Step 5: Solve for x
    x = 15,861.46/104.30
  6. Step 6: Final answer
    x = 152.08

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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.