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Finding the Fourth Proportional to 310.52, 427.80 and 289.52

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Solution

The fourth proportional to 310.52, 427.80 and 289.52 is: 398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.52 : 427.80 = 289.52 : x
  2. Step 2: Convert to fraction form
    310.52/427.80 = 289.52/x
  3. Step 3: Cross multiply
    310.52x = 427.80 × 289.52
  4. Step 4: Simplify right side
    310.52x = 123,856.66
  5. Step 5: Solve for x
    x = 123,856.66/310.52
  6. Step 6: Final answer
    x = 398.87

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