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Finding the Fourth Proportional to 553.17, 829.74 and 244.86

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Solution

The fourth proportional to 553.17, 829.74 and 244.86 is: 367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.17 : 829.74 = 244.86 : x
  2. Step 2: Convert to fraction form
    553.17/829.74 = 244.86/x
  3. Step 3: Cross multiply
    553.17x = 829.74 × 244.86
  4. Step 4: Simplify right side
    553.17x = 203,170.14
  5. Step 5: Solve for x
    x = 203,170.14/553.17
  6. Step 6: Final answer
    x = 367.28

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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.