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Finding the Fourth Proportional to 385.46, 576.13 and 335.66

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Solution

The fourth proportional to 385.46, 576.13 and 335.66 is: 501.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.46 : 576.13 = 335.66 : x
  2. Step 2: Convert to fraction form
    385.46/576.13 = 335.66/x
  3. Step 3: Cross multiply
    385.46x = 576.13 × 335.66
  4. Step 4: Simplify right side
    385.46x = 193,385.11
  5. Step 5: Solve for x
    x = 193,385.11/385.46
  6. Step 6: Final answer
    x = 501.70

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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.