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Finding the Fourth Proportional to 298.30, 448.36 and 291.92

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Solution

The fourth proportional to 298.30, 448.36 and 291.92 is: 438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.30 : 448.36 = 291.92 : x
  2. Step 2: Convert to fraction form
    298.30/448.36 = 291.92/x
  3. Step 3: Cross multiply
    298.30x = 448.36 × 291.92
  4. Step 4: Simplify right side
    298.30x = 130,885.64
  5. Step 5: Solve for x
    x = 130,885.64/298.30
  6. Step 6: Final answer
    x = 438.78

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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.