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Finding the Fourth Proportional to 440.09, 606.95 and 274.13

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Solution

The fourth proportional to 440.09, 606.95 and 274.13 is: 378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.09 : 606.95 = 274.13 : x
  2. Step 2: Convert to fraction form
    440.09/606.95 = 274.13/x
  3. Step 3: Cross multiply
    440.09x = 606.95 × 274.13
  4. Step 4: Simplify right side
    440.09x = 166,381.83
  5. Step 5: Solve for x
    x = 166,381.83/440.09
  6. Step 6: Final answer
    x = 378.06

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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.