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Finding the Fourth Proportional to 458.81, 633.17 and 301.27

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Solution

The fourth proportional to 458.81, 633.17 and 301.27 is: 415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.81 : 633.17 = 301.27 : x
  2. Step 2: Convert to fraction form
    458.81/633.17 = 301.27/x
  3. Step 3: Cross multiply
    458.81x = 633.17 × 301.27
  4. Step 4: Simplify right side
    458.81x = 190,753.79
  5. Step 5: Solve for x
    x = 190,753.79/458.81
  6. Step 6: Final answer
    x = 415.75

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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.