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Finding the Fourth Proportional to 413.29, 566.95 and 388.45

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Solution

The fourth proportional to 413.29, 566.95 and 388.45 is: 532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.29 : 566.95 = 388.45 : x
  2. Step 2: Convert to fraction form
    413.29/566.95 = 388.45/x
  3. Step 3: Cross multiply
    413.29x = 566.95 × 388.45
  4. Step 4: Simplify right side
    413.29x = 220,231.73
  5. Step 5: Solve for x
    x = 220,231.73/413.29
  6. Step 6: Final answer
    x = 532.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.