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Finding the Fourth Proportional to 440.46, 607.90 and 274.71

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Solution

The fourth proportional to 440.46, 607.90 and 274.71 is: 379.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.46 : 607.90 = 274.71 : x
  2. Step 2: Convert to fraction form
    440.46/607.90 = 274.71/x
  3. Step 3: Cross multiply
    440.46x = 607.90 × 274.71
  4. Step 4: Simplify right side
    440.46x = 166,995.52
  5. Step 5: Solve for x
    x = 166,995.52/440.46
  6. Step 6: Final answer
    x = 379.14

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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.