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Finding the Fourth Proportional to 377.17, 568.33 and 310.20

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Solution

The fourth proportional to 377.17, 568.33 and 310.20 is: 467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.17 : 568.33 = 310.20 : x
  2. Step 2: Convert to fraction form
    377.17/568.33 = 310.20/x
  3. Step 3: Cross multiply
    377.17x = 568.33 × 310.20
  4. Step 4: Simplify right side
    377.17x = 176,294.80
  5. Step 5: Solve for x
    x = 176,294.80/377.17
  6. Step 6: Final answer
    x = 467.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.