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Finding the Fourth Proportional to 256.07, 353.45 and 177.30

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Solution

The fourth proportional to 256.07, 353.45 and 177.30 is: 244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.07 : 353.45 = 177.30 : x
  2. Step 2: Convert to fraction form
    256.07/353.45 = 177.30/x
  3. Step 3: Cross multiply
    256.07x = 353.45 × 177.30
  4. Step 4: Simplify right side
    256.07x = 62,666.69
  5. Step 5: Solve for x
    x = 62,666.69/256.07
  6. Step 6: Final answer
    x = 244.72

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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.