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Finding the Fourth Proportional to 277.66, 414.11 and 263.08

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Solution

The fourth proportional to 277.66, 414.11 and 263.08 is: 392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.66 : 414.11 = 263.08 : x
  2. Step 2: Convert to fraction form
    277.66/414.11 = 263.08/x
  3. Step 3: Cross multiply
    277.66x = 414.11 × 263.08
  4. Step 4: Simplify right side
    277.66x = 108,944.06
  5. Step 5: Solve for x
    x = 108,944.06/277.66
  6. Step 6: Final answer
    x = 392.36

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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.