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Finding the Fourth Proportional to 413.17, 569.90 and 247.25

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Solution

The fourth proportional to 413.17, 569.90 and 247.25 is: 341.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.17 : 569.90 = 247.25 : x
  2. Step 2: Convert to fraction form
    413.17/569.90 = 247.25/x
  3. Step 3: Cross multiply
    413.17x = 569.90 × 247.25
  4. Step 4: Simplify right side
    413.17x = 140,907.78
  5. Step 5: Solve for x
    x = 140,907.78/413.17
  6. Step 6: Final answer
    x = 341.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.