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Finding the Fourth Proportional to 235.63, 353.35 and 98.58

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Solution

The fourth proportional to 235.63, 353.35 and 98.58 is: 147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.63 : 353.35 = 98.58 : x
  2. Step 2: Convert to fraction form
    235.63/353.35 = 98.58/x
  3. Step 3: Cross multiply
    235.63x = 353.35 × 98.58
  4. Step 4: Simplify right side
    235.63x = 34,833.00
  5. Step 5: Solve for x
    x = 34,833.00/235.63
  6. Step 6: Final answer
    x = 147.83

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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.