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Finding the Fourth Proportional to 326.74, 490.78 and 278.06

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Solution

The fourth proportional to 326.74, 490.78 and 278.06 is: 417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.74 : 490.78 = 278.06 : x
  2. Step 2: Convert to fraction form
    326.74/490.78 = 278.06/x
  3. Step 3: Cross multiply
    326.74x = 490.78 × 278.06
  4. Step 4: Simplify right side
    326.74x = 136,466.29
  5. Step 5: Solve for x
    x = 136,466.29/326.74
  6. Step 6: Final answer
    x = 417.66

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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.