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Finding the Fourth Proportional to 385.65, 576.29 and 277.65

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Solution

The fourth proportional to 385.65, 576.29 and 277.65 is: 414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.65 : 576.29 = 277.65 : x
  2. Step 2: Convert to fraction form
    385.65/576.29 = 277.65/x
  3. Step 3: Cross multiply
    385.65x = 576.29 × 277.65
  4. Step 4: Simplify right side
    385.65x = 160,007.61
  5. Step 5: Solve for x
    x = 160,007.61/385.65
  6. Step 6: Final answer
    x = 414.90

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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.