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Finding the Fourth Proportional to 256.34, 353.76 and 158.15

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Solution

The fourth proportional to 256.34, 353.76 and 158.15 is: 218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.34 : 353.76 = 158.15 : x
  2. Step 2: Convert to fraction form
    256.34/353.76 = 158.15/x
  3. Step 3: Cross multiply
    256.34x = 353.76 × 158.15
  4. Step 4: Simplify right side
    256.34x = 55,947.14
  5. Step 5: Solve for x
    x = 55,947.14/256.34
  6. Step 6: Final answer
    x = 218.25

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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.