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Finding the Fourth Proportional to 413.24, 617.18 and 355.59

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Solution

The fourth proportional to 413.24, 617.18 and 355.59 is: 531.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.24 : 617.18 = 355.59 : x
  2. Step 2: Convert to fraction form
    413.24/617.18 = 355.59/x
  3. Step 3: Cross multiply
    413.24x = 617.18 × 355.59
  4. Step 4: Simplify right side
    413.24x = 219,461.26
  5. Step 5: Solve for x
    x = 219,461.26/413.24
  6. Step 6: Final answer
    x = 531.08

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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.