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Finding the Fourth Proportional to 552.33, 828.50 and 141.50

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Solution

The fourth proportional to 552.33, 828.50 and 141.50 is: 212.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.33 : 828.50 = 141.50 : x
  2. Step 2: Convert to fraction form
    552.33/828.50 = 141.50/x
  3. Step 3: Cross multiply
    552.33x = 828.50 × 141.50
  4. Step 4: Simplify right side
    552.33x = 117,227.90
  5. Step 5: Solve for x
    x = 117,227.90/552.33
  6. Step 6: Final answer
    x = 212.24

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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.