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Finding the Fourth Proportional to 321.72, 484.95 and 294.40

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Solution

The fourth proportional to 321.72, 484.95 and 294.40 is: 443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.72 : 484.95 = 294.40 : x
  2. Step 2: Convert to fraction form
    321.72/484.95 = 294.40/x
  3. Step 3: Cross multiply
    321.72x = 484.95 × 294.40
  4. Step 4: Simplify right side
    321.72x = 142,769.28
  5. Step 5: Solve for x
    x = 142,769.28/321.72
  6. Step 6: Final answer
    x = 443.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.