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Finding the Fourth Proportional to 280.38, 420.66 and 143.31

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Solution

The fourth proportional to 280.38, 420.66 and 143.31 is: 215.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.38 : 420.66 = 143.31 : x
  2. Step 2: Convert to fraction form
    280.38/420.66 = 143.31/x
  3. Step 3: Cross multiply
    280.38x = 420.66 × 143.31
  4. Step 4: Simplify right side
    280.38x = 60,284.78
  5. Step 5: Solve for x
    x = 60,284.78/280.38
  6. Step 6: Final answer
    x = 215.01

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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.