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Finding the Fourth Proportional to 277.34, 414.08 and 260.96

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Solution

The fourth proportional to 277.34, 414.08 and 260.96 is: 389.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.34 : 414.08 = 260.96 : x
  2. Step 2: Convert to fraction form
    277.34/414.08 = 260.96/x
  3. Step 3: Cross multiply
    277.34x = 414.08 × 260.96
  4. Step 4: Simplify right side
    277.34x = 108,058.32
  5. Step 5: Solve for x
    x = 108,058.32/277.34
  6. Step 6: Final answer
    x = 389.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.