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Finding the Fourth Proportional to 413.18, 616.89 and 362.15

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Solution

The fourth proportional to 413.18, 616.89 and 362.15 is: 540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.18 : 616.89 = 362.15 : x
  2. Step 2: Convert to fraction form
    413.18/616.89 = 362.15/x
  3. Step 3: Cross multiply
    413.18x = 616.89 × 362.15
  4. Step 4: Simplify right side
    413.18x = 223,403.63
  5. Step 5: Solve for x
    x = 223,403.63/413.18
  6. Step 6: Final answer
    x = 540.70

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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.