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Finding the Fourth Proportional to 626.90, 940.17 and 188.13

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Solution

The fourth proportional to 626.90, 940.17 and 188.13 is: 282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.90 : 940.17 = 188.13 : x
  2. Step 2: Convert to fraction form
    626.90/940.17 = 188.13/x
  3. Step 3: Cross multiply
    626.90x = 940.17 × 188.13
  4. Step 4: Simplify right side
    626.90x = 176,874.18
  5. Step 5: Solve for x
    x = 176,874.18/626.90
  6. Step 6: Final answer
    x = 282.14

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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.