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Finding the Fourth Proportional to 303.38, 454.70 and 138.66

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Solution

The fourth proportional to 303.38, 454.70 and 138.66 is: 207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.38 : 454.70 = 138.66 : x
  2. Step 2: Convert to fraction form
    303.38/454.70 = 138.66/x
  3. Step 3: Cross multiply
    303.38x = 454.70 × 138.66
  4. Step 4: Simplify right side
    303.38x = 63,047.34
  5. Step 5: Solve for x
    x = 63,047.34/303.38
  6. Step 6: Final answer
    x = 207.82

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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.