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Finding the Fourth Proportional to 383.20, 572.13 and 314.54

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Solution

The fourth proportional to 383.20, 572.13 and 314.54 is: 469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.20 : 572.13 = 314.54 : x
  2. Step 2: Convert to fraction form
    383.20/572.13 = 314.54/x
  3. Step 3: Cross multiply
    383.20x = 572.13 × 314.54
  4. Step 4: Simplify right side
    383.20x = 179,957.77
  5. Step 5: Solve for x
    x = 179,957.77/383.20
  6. Step 6: Final answer
    x = 469.62

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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.