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Finding the Fourth Proportional to 299.15, 446.54 and 262.70

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Solution

The fourth proportional to 299.15, 446.54 and 262.70 is: 392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.15 : 446.54 = 262.70 : x
  2. Step 2: Convert to fraction form
    299.15/446.54 = 262.70/x
  3. Step 3: Cross multiply
    299.15x = 446.54 × 262.70
  4. Step 4: Simplify right side
    299.15x = 117,302.51
  5. Step 5: Solve for x
    x = 117,302.51/299.15
  6. Step 6: Final answer
    x = 392.13

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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.