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Finding the Fourth Proportional to 385.74, 532.17 and 245.82

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Solution

The fourth proportional to 385.74, 532.17 and 245.82 is: 339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.74 : 532.17 = 245.82 : x
  2. Step 2: Convert to fraction form
    385.74/532.17 = 245.82/x
  3. Step 3: Cross multiply
    385.74x = 532.17 × 245.82
  4. Step 4: Simplify right side
    385.74x = 130,818.03
  5. Step 5: Solve for x
    x = 130,818.03/385.74
  6. Step 6: Final answer
    x = 339.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.