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Finding the Fourth Proportional to 385.16, 532.10 and 268.52

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Solution

The fourth proportional to 385.16, 532.10 and 268.52 is: 370.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.16 : 532.10 = 268.52 : x
  2. Step 2: Convert to fraction form
    385.16/532.10 = 268.52/x
  3. Step 3: Cross multiply
    385.16x = 532.10 × 268.52
  4. Step 4: Simplify right side
    385.16x = 142,879.49
  5. Step 5: Solve for x
    x = 142,879.49/385.16
  6. Step 6: Final answer
    x = 370.96

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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.