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Finding the Fourth Proportional to 471.39, 650.47 and 274.91

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Solution

The fourth proportional to 471.39, 650.47 and 274.91 is: 379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.39 : 650.47 = 274.91 : x
  2. Step 2: Convert to fraction form
    471.39/650.47 = 274.91/x
  3. Step 3: Cross multiply
    471.39x = 650.47 × 274.91
  4. Step 4: Simplify right side
    471.39x = 178,820.71
  5. Step 5: Solve for x
    x = 178,820.71/471.39
  6. Step 6: Final answer
    x = 379.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.