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Finding the Fourth Proportional to 458.65, 632.96 and 272.10

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Solution

The fourth proportional to 458.65, 632.96 and 272.10 is: 375.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.65 : 632.96 = 272.10 : x
  2. Step 2: Convert to fraction form
    458.65/632.96 = 272.10/x
  3. Step 3: Cross multiply
    458.65x = 632.96 × 272.10
  4. Step 4: Simplify right side
    458.65x = 172,228.42
  5. Step 5: Solve for x
    x = 172,228.42/458.65
  6. Step 6: Final answer
    x = 375.51

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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.