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Finding the Fourth Proportional to 306.90, 462.02 and 235.08

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Solution

The fourth proportional to 306.90, 462.02 and 235.08 is: 353.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.90 : 462.02 = 235.08 : x
  2. Step 2: Convert to fraction form
    306.90/462.02 = 235.08/x
  3. Step 3: Cross multiply
    306.90x = 462.02 × 235.08
  4. Step 4: Simplify right side
    306.90x = 108,610.49
  5. Step 5: Solve for x
    x = 108,610.49/306.90
  6. Step 6: Final answer
    x = 353.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.