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Finding the Fourth Proportional to 413.95, 571.09 and 256.53

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Solution

The fourth proportional to 413.95, 571.09 and 256.53 is: 353.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.95 : 571.09 = 256.53 : x
  2. Step 2: Convert to fraction form
    413.95/571.09 = 256.53/x
  3. Step 3: Cross multiply
    413.95x = 571.09 × 256.53
  4. Step 4: Simplify right side
    413.95x = 146,500.44
  5. Step 5: Solve for x
    x = 146,500.44/413.95
  6. Step 6: Final answer
    x = 353.91

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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.