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Finding the Fourth Proportional to 930.42, 1,395.77 and 281.21

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Solution

The fourth proportional to 930.42, 1,395.77 and 281.21 is: 421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.42 : 1,395.77 = 281.21 : x
  2. Step 2: Convert to fraction form
    930.42/1,395.77 = 281.21/x
  3. Step 3: Cross multiply
    930.42x = 1,395.77 × 281.21
  4. Step 4: Simplify right side
    930.42x = 392,496.10
  5. Step 5: Solve for x
    x = 392,496.10/930.42
  6. Step 6: Final answer
    x = 421.85

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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.