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Finding the Fourth Proportional to 413.28, 616.91 and 348.30

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Solution

The fourth proportional to 413.28, 616.91 and 348.30 is: 519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.28 : 616.91 = 348.30 : x
  2. Step 2: Convert to fraction form
    413.28/616.91 = 348.30/x
  3. Step 3: Cross multiply
    413.28x = 616.91 × 348.30
  4. Step 4: Simplify right side
    413.28x = 214,868.01
  5. Step 5: Solve for x
    x = 214,868.01/413.28
  6. Step 6: Final answer
    x = 519.91

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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.