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Finding the Fourth Proportional to 393.87, 543.18 and 260.86

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Solution

The fourth proportional to 393.87, 543.18 and 260.86 is: 359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.87 : 543.18 = 260.86 : x
  2. Step 2: Convert to fraction form
    393.87/543.18 = 260.86/x
  3. Step 3: Cross multiply
    393.87x = 543.18 × 260.86
  4. Step 4: Simplify right side
    393.87x = 141,693.93
  5. Step 5: Solve for x
    x = 141,693.93/393.87
  6. Step 6: Final answer
    x = 359.75

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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.