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Finding the Fourth Proportional to 256.60, 354 and 212.32

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Solution

The fourth proportional to 256.60, 354 and 212.32 is: 292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.60 : 354 = 212.32 : x
  2. Step 2: Convert to fraction form
    256.60/354 = 212.32/x
  3. Step 3: Cross multiply
    256.60x = 354 × 212.32
  4. Step 4: Simplify right side
    256.60x = 75,161.28
  5. Step 5: Solve for x
    x = 75,161.28/256.60
  6. Step 6: Final answer
    x = 292.91

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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.