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Finding the Fourth Proportional to 930.22, 1,395.12 and 280.78

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Solution

The fourth proportional to 930.22, 1,395.12 and 280.78 is: 421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.22 : 1,395.12 = 280.78 : x
  2. Step 2: Convert to fraction form
    930.22/1,395.12 = 280.78/x
  3. Step 3: Cross multiply
    930.22x = 1,395.12 × 280.78
  4. Step 4: Simplify right side
    930.22x = 391,721.79
  5. Step 5: Solve for x
    x = 391,721.79/930.22
  6. Step 6: Final answer
    x = 421.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.