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Finding the Fourth Proportional to 177.20, 256.40 and 177.20

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Solution

The fourth proportional to 177.20, 256.40 and 177.20 is: 256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.20 : 256.40 = 177.20 : x
  2. Step 2: Convert to fraction form
    177.20/256.40 = 177.20/x
  3. Step 3: Cross multiply
    177.20x = 256.40 × 177.20
  4. Step 4: Simplify right side
    177.20x = 45,434.08
  5. Step 5: Solve for x
    x = 45,434.08/177.20
  6. Step 6: Final answer
    x = 256.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.