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Finding the Fourth Proportional to 186.28, 256.54 and 177.64

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Solution

The fourth proportional to 186.28, 256.54 and 177.64 is: 244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.28 : 256.54 = 177.64 : x
  2. Step 2: Convert to fraction form
    186.28/256.54 = 177.64/x
  3. Step 3: Cross multiply
    186.28x = 256.54 × 177.64
  4. Step 4: Simplify right side
    186.28x = 45,571.77
  5. Step 5: Solve for x
    x = 45,571.77/186.28
  6. Step 6: Final answer
    x = 244.64

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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.