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Finding the Fourth Proportional to 371.79, 556.47 and 262.23

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Solution

The fourth proportional to 371.79, 556.47 and 262.23 is: 392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.79 : 556.47 = 262.23 : x
  2. Step 2: Convert to fraction form
    371.79/556.47 = 262.23/x
  3. Step 3: Cross multiply
    371.79x = 556.47 × 262.23
  4. Step 4: Simplify right side
    371.79x = 145,923.13
  5. Step 5: Solve for x
    x = 145,923.13/371.79
  6. Step 6: Final answer
    x = 392.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.