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Finding the Fourth Proportional to 185.91, 256.37 and 148.68

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Solution

The fourth proportional to 185.91, 256.37 and 148.68 is: 205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.91 : 256.37 = 148.68 : x
  2. Step 2: Convert to fraction form
    185.91/256.37 = 148.68/x
  3. Step 3: Cross multiply
    185.91x = 256.37 × 148.68
  4. Step 4: Simplify right side
    185.91x = 38,117.36
  5. Step 5: Solve for x
    x = 38,117.36/185.91
  6. Step 6: Final answer
    x = 205.04

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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.