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Finding the Fourth Proportional to 185.38, 255.54 and 152.58

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Solution

The fourth proportional to 185.38, 255.54 and 152.58 is: 210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.38 : 255.54 = 152.58 : x
  2. Step 2: Convert to fraction form
    185.38/255.54 = 152.58/x
  3. Step 3: Cross multiply
    185.38x = 255.54 × 152.58
  4. Step 4: Simplify right side
    185.38x = 38,989.02
  5. Step 5: Solve for x
    x = 38,989.02/185.38
  6. Step 6: Final answer
    x = 210.32

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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.