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Finding the Fourth Proportional to 298.68, 446.10 and 266.28

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Solution

The fourth proportional to 298.68, 446.10 and 266.28 is: 397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.68 : 446.10 = 266.28 : x
  2. Step 2: Convert to fraction form
    298.68/446.10 = 266.28/x
  3. Step 3: Cross multiply
    298.68x = 446.10 × 266.28
  4. Step 4: Simplify right side
    298.68x = 118,787.51
  5. Step 5: Solve for x
    x = 118,787.51/298.68
  6. Step 6: Final answer
    x = 397.71

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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.