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Finding the Fourth Proportional to 320.64, 478.65 and 282.48

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Solution

The fourth proportional to 320.64, 478.65 and 282.48 is: 421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.64 : 478.65 = 282.48 : x
  2. Step 2: Convert to fraction form
    320.64/478.65 = 282.48/x
  3. Step 3: Cross multiply
    320.64x = 478.65 × 282.48
  4. Step 4: Simplify right side
    320.64x = 135,209.05
  5. Step 5: Solve for x
    x = 135,209.05/320.64
  6. Step 6: Final answer
    x = 421.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.