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Finding the Fourth Proportional to 283.66, 426.21 and 275.02

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Solution

The fourth proportional to 283.66, 426.21 and 275.02 is: 413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.66 : 426.21 = 275.02 : x
  2. Step 2: Convert to fraction form
    283.66/426.21 = 275.02/x
  3. Step 3: Cross multiply
    283.66x = 426.21 × 275.02
  4. Step 4: Simplify right side
    283.66x = 117,216.27
  5. Step 5: Solve for x
    x = 117,216.27/283.66
  6. Step 6: Final answer
    x = 413.23

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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.