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Finding the Fourth Proportional to 393.71, 543.11 and 261.15

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Solution

The fourth proportional to 393.71, 543.11 and 261.15 is: 360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.71 : 543.11 = 261.15 : x
  2. Step 2: Convert to fraction form
    393.71/543.11 = 261.15/x
  3. Step 3: Cross multiply
    393.71x = 543.11 × 261.15
  4. Step 4: Simplify right side
    393.71x = 141,831.87
  5. Step 5: Solve for x
    x = 141,831.87/393.71
  6. Step 6: Final answer
    x = 360.25

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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.