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Finding the Fourth Proportional to 185.71, 256.28 and 148.80

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Solution

The fourth proportional to 185.71, 256.28 and 148.80 is: 205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.71 : 256.28 = 148.80 : x
  2. Step 2: Convert to fraction form
    185.71/256.28 = 148.80/x
  3. Step 3: Cross multiply
    185.71x = 256.28 × 148.80
  4. Step 4: Simplify right side
    185.71x = 38,134.46
  5. Step 5: Solve for x
    x = 38,134.46/185.71
  6. Step 6: Final answer
    x = 205.35

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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.