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Finding the Fourth Proportional to 324.84, 487.32 and 264.50

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Solution

The fourth proportional to 324.84, 487.32 and 264.50 is: 396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.84 : 487.32 = 264.50 : x
  2. Step 2: Convert to fraction form
    324.84/487.32 = 264.50/x
  3. Step 3: Cross multiply
    324.84x = 487.32 × 264.50
  4. Step 4: Simplify right side
    324.84x = 128,896.14
  5. Step 5: Solve for x
    x = 128,896.14/324.84
  6. Step 6: Final answer
    x = 396.80

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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.