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Finding the Fourth Proportional to 298.03, 411.48 and 242.90

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Solution

The fourth proportional to 298.03, 411.48 and 242.90 is: 335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.03 : 411.48 = 242.90 : x
  2. Step 2: Convert to fraction form
    298.03/411.48 = 242.90/x
  3. Step 3: Cross multiply
    298.03x = 411.48 × 242.90
  4. Step 4: Simplify right side
    298.03x = 99,948.61
  5. Step 5: Solve for x
    x = 99,948.61/298.03
  6. Step 6: Final answer
    x = 335.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.