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Finding the Fourth Proportional to 458.80, 632.10 and 348.10

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Solution

The fourth proportional to 458.80, 632.10 and 348.10 is: 479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.80 : 632.10 = 348.10 : x
  2. Step 2: Convert to fraction form
    458.80/632.10 = 348.10/x
  3. Step 3: Cross multiply
    458.80x = 632.10 × 348.10
  4. Step 4: Simplify right side
    458.80x = 220,034.01
  5. Step 5: Solve for x
    x = 220,034.01/458.80
  6. Step 6: Final answer
    x = 479.59

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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.