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Finding the Fourth Proportional to 352.40, 527.48 and 319.76

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Solution

The fourth proportional to 352.40, 527.48 and 319.76 is: 478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.40 : 527.48 = 319.76 : x
  2. Step 2: Convert to fraction form
    352.40/527.48 = 319.76/x
  3. Step 3: Cross multiply
    352.40x = 527.48 × 319.76
  4. Step 4: Simplify right side
    352.40x = 168,667.00
  5. Step 5: Solve for x
    x = 168,667.00/352.40
  6. Step 6: Final answer
    x = 478.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.