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Finding the Fourth Proportional to 392.09, 587.10 and 275.90

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Solution

The fourth proportional to 392.09, 587.10 and 275.90 is: 413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.09 : 587.10 = 275.90 : x
  2. Step 2: Convert to fraction form
    392.09/587.10 = 275.90/x
  3. Step 3: Cross multiply
    392.09x = 587.10 × 275.90
  4. Step 4: Simplify right side
    392.09x = 161,981.26
  5. Step 5: Solve for x
    x = 161,981.26/392.09
  6. Step 6: Final answer
    x = 413.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.