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Finding the Fourth Proportional to 553.45, 830.14 and 142.61

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Solution

The fourth proportional to 553.45, 830.14 and 142.61 is: 213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.45 : 830.14 = 142.61 : x
  2. Step 2: Convert to fraction form
    553.45/830.14 = 142.61/x
  3. Step 3: Cross multiply
    553.45x = 830.14 × 142.61
  4. Step 4: Simplify right side
    553.45x = 118,382.29
  5. Step 5: Solve for x
    x = 118,382.29/553.45
  6. Step 6: Final answer
    x = 213.90

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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.