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Finding the Fourth Proportional to 345.78, 515.66 and 326.61

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Solution

The fourth proportional to 345.78, 515.66 and 326.61 is: 487.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.78 : 515.66 = 326.61 : x
  2. Step 2: Convert to fraction form
    345.78/515.66 = 326.61/x
  3. Step 3: Cross multiply
    345.78x = 515.66 × 326.61
  4. Step 4: Simplify right side
    345.78x = 168,418.08
  5. Step 5: Solve for x
    x = 168,418.08/345.78
  6. Step 6: Final answer
    x = 487.07

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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.