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Finding the Fourth Proportional to 383.18, 572.17 and 301.10

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Solution

The fourth proportional to 383.18, 572.17 and 301.10 is: 449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.18 : 572.17 = 301.10 : x
  2. Step 2: Convert to fraction form
    383.18/572.17 = 301.10/x
  3. Step 3: Cross multiply
    383.18x = 572.17 × 301.10
  4. Step 4: Simplify right side
    383.18x = 172,280.39
  5. Step 5: Solve for x
    x = 172,280.39/383.18
  6. Step 6: Final answer
    x = 449.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.