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Finding the Fourth Proportional to 324.66, 486.36 and 256.32

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Solution

The fourth proportional to 324.66, 486.36 and 256.32 is: 383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.66 : 486.36 = 256.32 : x
  2. Step 2: Convert to fraction form
    324.66/486.36 = 256.32/x
  3. Step 3: Cross multiply
    324.66x = 486.36 × 256.32
  4. Step 4: Simplify right side
    324.66x = 124,663.80
  5. Step 5: Solve for x
    x = 124,663.80/324.66
  6. Step 6: Final answer
    x = 383.98

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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.