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Finding the Fourth Proportional to 947.71, 1,421.40 and 254.44

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Solution

The fourth proportional to 947.71, 1,421.40 and 254.44 is: 381.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.71 : 1,421.40 = 254.44 : x
  2. Step 2: Convert to fraction form
    947.71/1,421.40 = 254.44/x
  3. Step 3: Cross multiply
    947.71x = 1,421.40 × 254.44
  4. Step 4: Simplify right side
    947.71x = 361,661.02
  5. Step 5: Solve for x
    x = 361,661.02/947.71
  6. Step 6: Final answer
    x = 381.62

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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.