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Finding the Fourth Proportional to 306.19, 460.82 and 229.56

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Solution

The fourth proportional to 306.19, 460.82 and 229.56 is: 345.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.19 : 460.82 = 229.56 : x
  2. Step 2: Convert to fraction form
    306.19/460.82 = 229.56/x
  3. Step 3: Cross multiply
    306.19x = 460.82 × 229.56
  4. Step 4: Simplify right side
    306.19x = 105,785.84
  5. Step 5: Solve for x
    x = 105,785.84/306.19
  6. Step 6: Final answer
    x = 345.49

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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.