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Finding the Fourth Proportional to 469.38, 704.13 and 144.72

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Solution

The fourth proportional to 469.38, 704.13 and 144.72 is: 217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.38 : 704.13 = 144.72 : x
  2. Step 2: Convert to fraction form
    469.38/704.13 = 144.72/x
  3. Step 3: Cross multiply
    469.38x = 704.13 × 144.72
  4. Step 4: Simplify right side
    469.38x = 101,901.69
  5. Step 5: Solve for x
    x = 101,901.69/469.38
  6. Step 6: Final answer
    x = 217.10

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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.