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Finding the Fourth Proportional to 382.91, 571.01 and 340.89

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Solution

The fourth proportional to 382.91, 571.01 and 340.89 is: 508.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.91 : 571.01 = 340.89 : x
  2. Step 2: Convert to fraction form
    382.91/571.01 = 340.89/x
  3. Step 3: Cross multiply
    382.91x = 571.01 × 340.89
  4. Step 4: Simplify right side
    382.91x = 194,649.89
  5. Step 5: Solve for x
    x = 194,649.89/382.91
  6. Step 6: Final answer
    x = 508.35

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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.