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Finding the Fourth Proportional to 300.90, 449.25 and 242.46

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Solution

The fourth proportional to 300.90, 449.25 and 242.46 is: 362.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.90 : 449.25 = 242.46 : x
  2. Step 2: Convert to fraction form
    300.90/449.25 = 242.46/x
  3. Step 3: Cross multiply
    300.90x = 449.25 × 242.46
  4. Step 4: Simplify right side
    300.90x = 108,925.16
  5. Step 5: Solve for x
    x = 108,925.16/300.90
  6. Step 6: Final answer
    x = 362.00

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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.