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Finding the Fourth Proportional to 835.51, 1,253.33 and 280.30

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Solution

The fourth proportional to 835.51, 1,253.33 and 280.30 is: 420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.51 : 1,253.33 = 280.30 : x
  2. Step 2: Convert to fraction form
    835.51/1,253.33 = 280.30/x
  3. Step 3: Cross multiply
    835.51x = 1,253.33 × 280.30
  4. Step 4: Simplify right side
    835.51x = 351,308.40
  5. Step 5: Solve for x
    x = 351,308.40/835.51
  6. Step 6: Final answer
    x = 420.47

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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.