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Finding the Fourth Proportional to 184.76, 255.10 and 148.12

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Solution

The fourth proportional to 184.76, 255.10 and 148.12 is: 204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.76 : 255.10 = 148.12 : x
  2. Step 2: Convert to fraction form
    184.76/255.10 = 148.12/x
  3. Step 3: Cross multiply
    184.76x = 255.10 × 148.12
  4. Step 4: Simplify right side
    184.76x = 37,785.41
  5. Step 5: Solve for x
    x = 37,785.41/184.76
  6. Step 6: Final answer
    x = 204.51

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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.