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Finding the Fourth Proportional to 461.40, 691 and 278.26

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Solution

The fourth proportional to 461.40, 691 and 278.26 is: 416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.40 : 691 = 278.26 : x
  2. Step 2: Convert to fraction form
    461.40/691 = 278.26/x
  3. Step 3: Cross multiply
    461.40x = 691 × 278.26
  4. Step 4: Simplify right side
    461.40x = 192,277.66
  5. Step 5: Solve for x
    x = 192,277.66/461.40
  6. Step 6: Final answer
    x = 416.73

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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.