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Finding the Fourth Proportional to 261.59, 390.16 and 256.73

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Solution

The fourth proportional to 261.59, 390.16 and 256.73 is: 382.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.59 : 390.16 = 256.73 : x
  2. Step 2: Convert to fraction form
    261.59/390.16 = 256.73/x
  3. Step 3: Cross multiply
    261.59x = 390.16 × 256.73
  4. Step 4: Simplify right side
    261.59x = 100,164.15
  5. Step 5: Solve for x
    x = 100,164.15/261.59
  6. Step 6: Final answer
    x = 382.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.