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Finding the Fourth Proportional to 432.48, 595.84 and 321.78

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Solution

The fourth proportional to 432.48, 595.84 and 321.78 is: 443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.48 : 595.84 = 321.78 : x
  2. Step 2: Convert to fraction form
    432.48/595.84 = 321.78/x
  3. Step 3: Cross multiply
    432.48x = 595.84 × 321.78
  4. Step 4: Simplify right side
    432.48x = 191,727.79
  5. Step 5: Solve for x
    x = 191,727.79/432.48
  6. Step 6: Final answer
    x = 443.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.