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Finding the Fourth Proportional to 303.72, 455.14 and 138.78

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Solution

The fourth proportional to 303.72, 455.14 and 138.78 is: 207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.72 : 455.14 = 138.78 : x
  2. Step 2: Convert to fraction form
    303.72/455.14 = 138.78/x
  3. Step 3: Cross multiply
    303.72x = 455.14 × 138.78
  4. Step 4: Simplify right side
    303.72x = 63,164.76
  5. Step 5: Solve for x
    x = 63,164.76/303.72
  6. Step 6: Final answer
    x = 207.97

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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.