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Finding the Fourth Proportional to 235.91, 353.97 and 99.02

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Solution

The fourth proportional to 235.91, 353.97 and 99.02 is: 148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.91 : 353.97 = 99.02 : x
  2. Step 2: Convert to fraction form
    235.91/353.97 = 99.02/x
  3. Step 3: Cross multiply
    235.91x = 353.97 × 99.02
  4. Step 4: Simplify right side
    235.91x = 35,050.99
  5. Step 5: Solve for x
    x = 35,050.99/235.91
  6. Step 6: Final answer
    x = 148.58

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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.