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Finding the Fourth Proportional to 440.61, 661.84 and 278.41

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Solution

The fourth proportional to 440.61, 661.84 and 278.41 is: 418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.61 : 661.84 = 278.41 : x
  2. Step 2: Convert to fraction form
    440.61/661.84 = 278.41/x
  3. Step 3: Cross multiply
    440.61x = 661.84 × 278.41
  4. Step 4: Simplify right side
    440.61x = 184,262.87
  5. Step 5: Solve for x
    x = 184,262.87/440.61
  6. Step 6: Final answer
    x = 418.20

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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.