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Finding the Fourth Proportional to 235.66, 325.20 and 130.74

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Solution

The fourth proportional to 235.66, 325.20 and 130.74 is: 180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.66 : 325.20 = 130.74 : x
  2. Step 2: Convert to fraction form
    235.66/325.20 = 130.74/x
  3. Step 3: Cross multiply
    235.66x = 325.20 × 130.74
  4. Step 4: Simplify right side
    235.66x = 42,517.93
  5. Step 5: Solve for x
    x = 42,517.93/235.66
  6. Step 6: Final answer
    x = 180.42

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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.