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Finding the Fourth Proportional to 553.17, 829.74 and 188.21

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Solution

The fourth proportional to 553.17, 829.74 and 188.21 is: 282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.17 : 829.74 = 188.21 : x
  2. Step 2: Convert to fraction form
    553.17/829.74 = 188.21/x
  3. Step 3: Cross multiply
    553.17x = 829.74 × 188.21
  4. Step 4: Simplify right side
    553.17x = 156,163.29
  5. Step 5: Solve for x
    x = 156,163.29/553.17
  6. Step 6: Final answer
    x = 282.31

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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.