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Finding the Fourth Proportional to 413.75, 571.10 and 248.07

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Solution

The fourth proportional to 413.75, 571.10 and 248.07 is: 342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.75 : 571.10 = 248.07 : x
  2. Step 2: Convert to fraction form
    413.75/571.10 = 248.07/x
  3. Step 3: Cross multiply
    413.75x = 571.10 × 248.07
  4. Step 4: Simplify right side
    413.75x = 141,669.30
  5. Step 5: Solve for x
    x = 141,669.30/413.75
  6. Step 6: Final answer
    x = 342.40

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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.