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Finding the Fourth Proportional to 235.46, 324.53 and 202.58

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Solution

The fourth proportional to 235.46, 324.53 and 202.58 is: 279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.46 : 324.53 = 202.58 : x
  2. Step 2: Convert to fraction form
    235.46/324.53 = 202.58/x
  3. Step 3: Cross multiply
    235.46x = 324.53 × 202.58
  4. Step 4: Simplify right side
    235.46x = 65,743.29
  5. Step 5: Solve for x
    x = 65,743.29/235.46
  6. Step 6: Final answer
    x = 279.21

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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.