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Finding the Fourth Proportional to 502.23, 753.49 and 228.09

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Solution

The fourth proportional to 502.23, 753.49 and 228.09 is: 342.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.23 : 753.49 = 228.09 : x
  2. Step 2: Convert to fraction form
    502.23/753.49 = 228.09/x
  3. Step 3: Cross multiply
    502.23x = 753.49 × 228.09
  4. Step 4: Simplify right side
    502.23x = 171,867.29
  5. Step 5: Solve for x
    x = 171,867.29/502.23
  6. Step 6: Final answer
    x = 342.21

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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.