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Finding the Fourth Proportional to 261.74, 393.14 and 255.60

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Solution

The fourth proportional to 261.74, 393.14 and 255.60 is: 383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.74 : 393.14 = 255.60 : x
  2. Step 2: Convert to fraction form
    261.74/393.14 = 255.60/x
  3. Step 3: Cross multiply
    261.74x = 393.14 × 255.60
  4. Step 4: Simplify right side
    261.74x = 100,487.22
  5. Step 5: Solve for x
    x = 100,487.22/261.74
  6. Step 6: Final answer
    x = 383.92

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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.