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Finding the Fourth Proportional to 345.97, 515.77 and 328.66

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Solution

The fourth proportional to 345.97, 515.77 and 328.66 is: 489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.97 : 515.77 = 328.66 : x
  2. Step 2: Convert to fraction form
    345.97/515.77 = 328.66/x
  3. Step 3: Cross multiply
    345.97x = 515.77 × 328.66
  4. Step 4: Simplify right side
    345.97x = 169,510.86
  5. Step 5: Solve for x
    x = 169,510.86/345.97
  6. Step 6: Final answer
    x = 489.96

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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.