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Finding the Fourth Proportional to 235.57, 353.44 and 98.71

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Solution

The fourth proportional to 235.57, 353.44 and 98.71 is: 148.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.57 : 353.44 = 98.71 : x
  2. Step 2: Convert to fraction form
    235.57/353.44 = 98.71/x
  3. Step 3: Cross multiply
    235.57x = 353.44 × 98.71
  4. Step 4: Simplify right side
    235.57x = 34,888.06
  5. Step 5: Solve for x
    x = 34,888.06/235.57
  6. Step 6: Final answer
    x = 148.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.