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Finding the Fourth Proportional to 385.86, 532.38 and 261.93

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Solution

The fourth proportional to 385.86, 532.38 and 261.93 is: 361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.86 : 532.38 = 261.93 : x
  2. Step 2: Convert to fraction form
    385.86/532.38 = 261.93/x
  3. Step 3: Cross multiply
    385.86x = 532.38 × 261.93
  4. Step 4: Simplify right side
    385.86x = 139,446.29
  5. Step 5: Solve for x
    x = 139,446.29/385.86
  6. Step 6: Final answer
    x = 361.39

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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.