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Finding the Fourth Proportional to 406.93, 611.40 and 260.75

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Solution

The fourth proportional to 406.93, 611.40 and 260.75 is: 391.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.93 : 611.40 = 260.75 : x
  2. Step 2: Convert to fraction form
    406.93/611.40 = 260.75/x
  3. Step 3: Cross multiply
    406.93x = 611.40 × 260.75
  4. Step 4: Simplify right side
    406.93x = 159,419.49
  5. Step 5: Solve for x
    x = 159,419.49/406.93
  6. Step 6: Final answer
    x = 391.76

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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.