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Finding the Fourth Proportional to 306.06, 461.80 and 292.74

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Solution

The fourth proportional to 306.06, 461.80 and 292.74 is: 441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.06 : 461.80 = 292.74 : x
  2. Step 2: Convert to fraction form
    306.06/461.80 = 292.74/x
  3. Step 3: Cross multiply
    306.06x = 461.80 × 292.74
  4. Step 4: Simplify right side
    306.06x = 135,187.33
  5. Step 5: Solve for x
    x = 135,187.33/306.06
  6. Step 6: Final answer
    x = 441.70

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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.