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Finding the Fourth Proportional to 456.52, 630.22 and 309.10

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Solution

The fourth proportional to 456.52, 630.22 and 309.10 is: 426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.52 : 630.22 = 309.10 : x
  2. Step 2: Convert to fraction form
    456.52/630.22 = 309.10/x
  3. Step 3: Cross multiply
    456.52x = 630.22 × 309.10
  4. Step 4: Simplify right side
    456.52x = 194,801.00
  5. Step 5: Solve for x
    x = 194,801.00/456.52
  6. Step 6: Final answer
    x = 426.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.