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Finding the Fourth Proportional to 343.25, 511.61 and 332

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Solution

The fourth proportional to 343.25, 511.61 and 332 is: 494.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.25 : 511.61 = 332 : x
  2. Step 2: Convert to fraction form
    343.25/511.61 = 332/x
  3. Step 3: Cross multiply
    343.25x = 511.61 × 332
  4. Step 4: Simplify right side
    343.25x = 169,854.52
  5. Step 5: Solve for x
    x = 169,854.52/343.25
  6. Step 6: Final answer
    x = 494.84

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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.