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Finding the Fourth Proportional to 385.84, 580.85 and 299.68

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Solution

The fourth proportional to 385.84, 580.85 and 299.68 is: 451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.84 : 580.85 = 299.68 : x
  2. Step 2: Convert to fraction form
    385.84/580.85 = 299.68/x
  3. Step 3: Cross multiply
    385.84x = 580.85 × 299.68
  4. Step 4: Simplify right side
    385.84x = 174,069.13
  5. Step 5: Solve for x
    x = 174,069.13/385.84
  6. Step 6: Final answer
    x = 451.14

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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.