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Finding the Fourth Proportional to 324.99, 487.86 and 256.74

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Solution

The fourth proportional to 324.99, 487.86 and 256.74 is: 385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.99 : 487.86 = 256.74 : x
  2. Step 2: Convert to fraction form
    324.99/487.86 = 256.74/x
  3. Step 3: Cross multiply
    324.99x = 487.86 × 256.74
  4. Step 4: Simplify right side
    324.99x = 125,253.18
  5. Step 5: Solve for x
    x = 125,253.18/324.99
  6. Step 6: Final answer
    x = 385.41

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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.