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Finding the Fourth Proportional to 306.64, 462.61 and 291.46

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Solution

The fourth proportional to 306.64, 462.61 and 291.46 is: 439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.64 : 462.61 = 291.46 : x
  2. Step 2: Convert to fraction form
    306.64/462.61 = 291.46/x
  3. Step 3: Cross multiply
    306.64x = 462.61 × 291.46
  4. Step 4: Simplify right side
    306.64x = 134,832.31
  5. Step 5: Solve for x
    x = 134,832.31/306.64
  6. Step 6: Final answer
    x = 439.71

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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.