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Finding the Fourth Proportional to 256.60, 382.76 and 253

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Solution

The fourth proportional to 256.60, 382.76 and 253 is: 377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.60 : 382.76 = 253 : x
  2. Step 2: Convert to fraction form
    256.60/382.76 = 253/x
  3. Step 3: Cross multiply
    256.60x = 382.76 × 253
  4. Step 4: Simplify right side
    256.60x = 96,838.28
  5. Step 5: Solve for x
    x = 96,838.28/256.60
  6. Step 6: Final answer
    x = 377.39

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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.