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Finding the Fourth Proportional to 451.72, 678.30 and 260.20

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Solution

The fourth proportional to 451.72, 678.30 and 260.20 is: 390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.72 : 678.30 = 260.20 : x
  2. Step 2: Convert to fraction form
    451.72/678.30 = 260.20/x
  3. Step 3: Cross multiply
    451.72x = 678.30 × 260.20
  4. Step 4: Simplify right side
    451.72x = 176,493.66
  5. Step 5: Solve for x
    x = 176,493.66/451.72
  6. Step 6: Final answer
    x = 390.71

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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.