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Finding the Fourth Proportional to 385.82, 532.14 and 341.66

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Solution

The fourth proportional to 385.82, 532.14 and 341.66 is: 471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.82 : 532.14 = 341.66 : x
  2. Step 2: Convert to fraction form
    385.82/532.14 = 341.66/x
  3. Step 3: Cross multiply
    385.82x = 532.14 × 341.66
  4. Step 4: Simplify right side
    385.82x = 181,810.95
  5. Step 5: Solve for x
    x = 181,810.95/385.82
  6. Step 6: Final answer
    x = 471.23

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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.