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Finding the Fourth Proportional to 256.61, 382.60 and 253.91

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Solution

The fourth proportional to 256.61, 382.60 and 253.91 is: 378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.61 : 382.60 = 253.91 : x
  2. Step 2: Convert to fraction form
    256.61/382.60 = 253.91/x
  3. Step 3: Cross multiply
    256.61x = 382.60 × 253.91
  4. Step 4: Simplify right side
    256.61x = 97,145.97
  5. Step 5: Solve for x
    x = 97,145.97/256.61
  6. Step 6: Final answer
    x = 378.57

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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.