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Finding the Fourth Proportional to 413.10, 569.06 and 353.90

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Solution

The fourth proportional to 413.10, 569.06 and 353.90 is: 487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.10 : 569.06 = 353.90 : x
  2. Step 2: Convert to fraction form
    413.10/569.06 = 353.90/x
  3. Step 3: Cross multiply
    413.10x = 569.06 × 353.90
  4. Step 4: Simplify right side
    413.10x = 201,388.37
  5. Step 5: Solve for x
    x = 201,388.37/413.10
  6. Step 6: Final answer
    x = 487.50

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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.