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Finding the Fourth Proportional to 235.33, 353.04 and 98.40

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Solution

The fourth proportional to 235.33, 353.04 and 98.40 is: 147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.33 : 353.04 = 98.40 : x
  2. Step 2: Convert to fraction form
    235.33/353.04 = 98.40/x
  3. Step 3: Cross multiply
    235.33x = 353.04 × 98.40
  4. Step 4: Simplify right side
    235.33x = 34,739.14
  5. Step 5: Solve for x
    x = 34,739.14/235.33
  6. Step 6: Final answer
    x = 147.62

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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.