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Finding the Fourth Proportional to 458.10, 630.57 and 347.31

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Solution

The fourth proportional to 458.10, 630.57 and 347.31 is: 478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.10 : 630.57 = 347.31 : x
  2. Step 2: Convert to fraction form
    458.10/630.57 = 347.31/x
  3. Step 3: Cross multiply
    458.10x = 630.57 × 347.31
  4. Step 4: Simplify right side
    458.10x = 219,003.27
  5. Step 5: Solve for x
    x = 219,003.27/458.10
  6. Step 6: Final answer
    x = 478.07

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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.