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Finding the Fourth Proportional to 303.13, 454.65 and 138.57

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Solution

The fourth proportional to 303.13, 454.65 and 138.57 is: 207.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.13 : 454.65 = 138.57 : x
  2. Step 2: Convert to fraction form
    303.13/454.65 = 138.57/x
  3. Step 3: Cross multiply
    303.13x = 454.65 × 138.57
  4. Step 4: Simplify right side
    303.13x = 63,000.85
  5. Step 5: Solve for x
    x = 63,000.85/303.13
  6. Step 6: Final answer
    x = 207.83

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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.