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Finding the Fourth Proportional to 280.33, 420.31 and 214.47

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Solution

The fourth proportional to 280.33, 420.31 and 214.47 is: 321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.33 : 420.31 = 214.47 : x
  2. Step 2: Convert to fraction form
    280.33/420.31 = 214.47/x
  3. Step 3: Cross multiply
    280.33x = 420.31 × 214.47
  4. Step 4: Simplify right side
    280.33x = 90,143.89
  5. Step 5: Solve for x
    x = 90,143.89/280.33
  6. Step 6: Final answer
    x = 321.56

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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.