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Finding the Fourth Proportional to 524.71, 786.49 and 212.23

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Solution

The fourth proportional to 524.71, 786.49 and 212.23 is: 318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.71 : 786.49 = 212.23 : x
  2. Step 2: Convert to fraction form
    524.71/786.49 = 212.23/x
  3. Step 3: Cross multiply
    524.71x = 786.49 × 212.23
  4. Step 4: Simplify right side
    524.71x = 166,911.78
  5. Step 5: Solve for x
    x = 166,911.78/524.71
  6. Step 6: Final answer
    x = 318.11

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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.