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Finding the Fourth Proportional to 256.19, 353.46 and 145.66

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Solution

The fourth proportional to 256.19, 353.46 and 145.66 is: 200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.19 : 353.46 = 145.66 : x
  2. Step 2: Convert to fraction form
    256.19/353.46 = 145.66/x
  3. Step 3: Cross multiply
    256.19x = 353.46 × 145.66
  4. Step 4: Simplify right side
    256.19x = 51,484.98
  5. Step 5: Solve for x
    x = 51,484.98/256.19
  6. Step 6: Final answer
    x = 200.96

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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.