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Finding the Fourth Proportional to 620.14, 930.24 and 187.30

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Solution

The fourth proportional to 620.14, 930.24 and 187.30 is: 280.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.14 : 930.24 = 187.30 : x
  2. Step 2: Convert to fraction form
    620.14/930.24 = 187.30/x
  3. Step 3: Cross multiply
    620.14x = 930.24 × 187.30
  4. Step 4: Simplify right side
    620.14x = 174,233.95
  5. Step 5: Solve for x
    x = 174,233.95/620.14
  6. Step 6: Final answer
    x = 280.96

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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.