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Finding the Fourth Proportional to 553.22, 829.90 and 188.11

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Solution

The fourth proportional to 553.22, 829.90 and 188.11 is: 282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.22 : 829.90 = 188.11 : x
  2. Step 2: Convert to fraction form
    553.22/829.90 = 188.11/x
  3. Step 3: Cross multiply
    553.22x = 829.90 × 188.11
  4. Step 4: Simplify right side
    553.22x = 156,108.34
  5. Step 5: Solve for x
    x = 156,108.34/553.22
  6. Step 6: Final answer
    x = 282.18

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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.