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Finding the Fourth Proportional to 235.47, 324.94 and 135.88

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Solution

The fourth proportional to 235.47, 324.94 and 135.88 is: 187.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.47 : 324.94 = 135.88 : x
  2. Step 2: Convert to fraction form
    235.47/324.94 = 135.88/x
  3. Step 3: Cross multiply
    235.47x = 324.94 × 135.88
  4. Step 4: Simplify right side
    235.47x = 44,152.85
  5. Step 5: Solve for x
    x = 44,152.85/235.47
  6. Step 6: Final answer
    x = 187.51

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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.