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Finding the Fourth Proportional to 458.10, 632.01 and 271.38

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Solution

The fourth proportional to 458.10, 632.01 and 271.38 is: 374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.10 : 632.01 = 271.38 : x
  2. Step 2: Convert to fraction form
    458.10/632.01 = 271.38/x
  3. Step 3: Cross multiply
    458.10x = 632.01 × 271.38
  4. Step 4: Simplify right side
    458.10x = 171,514.87
  5. Step 5: Solve for x
    x = 171,514.87/458.10
  6. Step 6: Final answer
    x = 374.40

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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.