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Finding the Fourth Proportional to 298.49, 444.12 and 291.05

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Solution

The fourth proportional to 298.49, 444.12 and 291.05 is: 433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.49 : 444.12 = 291.05 : x
  2. Step 2: Convert to fraction form
    298.49/444.12 = 291.05/x
  3. Step 3: Cross multiply
    298.49x = 444.12 × 291.05
  4. Step 4: Simplify right side
    298.49x = 129,257.81
  5. Step 5: Solve for x
    x = 129,257.81/298.49
  6. Step 6: Final answer
    x = 433.05

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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.