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Finding the Fourth Proportional to 324.70, 487.74 and 313.76

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Solution

The fourth proportional to 324.70, 487.74 and 313.76 is: 471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.70 : 487.74 = 313.76 : x
  2. Step 2: Convert to fraction form
    324.70/487.74 = 313.76/x
  3. Step 3: Cross multiply
    324.70x = 487.74 × 313.76
  4. Step 4: Simplify right side
    324.70x = 153,033.30
  5. Step 5: Solve for x
    x = 153,033.30/324.70
  6. Step 6: Final answer
    x = 471.31

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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.