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Finding the Fourth Proportional to 256.53, 382.80 and 230.58

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Solution

The fourth proportional to 256.53, 382.80 and 230.58 is: 344.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.53 : 382.80 = 230.58 : x
  2. Step 2: Convert to fraction form
    256.53/382.80 = 230.58/x
  3. Step 3: Cross multiply
    256.53x = 382.80 × 230.58
  4. Step 4: Simplify right side
    256.53x = 88,266.02
  5. Step 5: Solve for x
    x = 88,266.02/256.53
  6. Step 6: Final answer
    x = 344.08

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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.