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Finding the Fourth Proportional to 256.45, 354.10 and 230.18

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Solution

The fourth proportional to 256.45, 354.10 and 230.18 is: 317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.45 : 354.10 = 230.18 : x
  2. Step 2: Convert to fraction form
    256.45/354.10 = 230.18/x
  3. Step 3: Cross multiply
    256.45x = 354.10 × 230.18
  4. Step 4: Simplify right side
    256.45x = 81,506.74
  5. Step 5: Solve for x
    x = 81,506.74/256.45
  6. Step 6: Final answer
    x = 317.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.