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Finding the Fourth Proportional to 385.34, 580.10 and 299.18

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Solution

The fourth proportional to 385.34, 580.10 and 299.18 is: 450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.34 : 580.10 = 299.18 : x
  2. Step 2: Convert to fraction form
    385.34/580.10 = 299.18/x
  3. Step 3: Cross multiply
    385.34x = 580.10 × 299.18
  4. Step 4: Simplify right side
    385.34x = 173,549.92
  5. Step 5: Solve for x
    x = 173,549.92/385.34
  6. Step 6: Final answer
    x = 450.39

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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.