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Finding the Fourth Proportional to 383.61, 572.48 and 342.61

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Solution

The fourth proportional to 383.61, 572.48 and 342.61 is: 511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.61 : 572.48 = 342.61 : x
  2. Step 2: Convert to fraction form
    383.61/572.48 = 342.61/x
  3. Step 3: Cross multiply
    383.61x = 572.48 × 342.61
  4. Step 4: Simplify right side
    383.61x = 196,132.80
  5. Step 5: Solve for x
    x = 196,132.80/383.61
  6. Step 6: Final answer
    x = 511.28

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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.