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Finding the Fourth Proportional to 298.72, 446.80 and 233.20

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Solution

The fourth proportional to 298.72, 446.80 and 233.20 is: 348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.72 : 446.80 = 233.20 : x
  2. Step 2: Convert to fraction form
    298.72/446.80 = 233.20/x
  3. Step 3: Cross multiply
    298.72x = 446.80 × 233.20
  4. Step 4: Simplify right side
    298.72x = 104,193.76
  5. Step 5: Solve for x
    x = 104,193.76/298.72
  6. Step 6: Final answer
    x = 348.80

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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.