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Finding the Fourth Proportional to 310.67, 429.24 and 258.83

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Solution

The fourth proportional to 310.67, 429.24 and 258.83 is: 357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.67 : 429.24 = 258.83 : x
  2. Step 2: Convert to fraction form
    310.67/429.24 = 258.83/x
  3. Step 3: Cross multiply
    310.67x = 429.24 × 258.83
  4. Step 4: Simplify right side
    310.67x = 111,096.75
  5. Step 5: Solve for x
    x = 111,096.75/310.67
  6. Step 6: Final answer
    x = 357.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.