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Finding the Fourth Proportional to 277.71, 414 and 264.75

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Solution

The fourth proportional to 277.71, 414 and 264.75 is: 394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.71 : 414 = 264.75 : x
  2. Step 2: Convert to fraction form
    277.71/414 = 264.75/x
  3. Step 3: Cross multiply
    277.71x = 414 × 264.75
  4. Step 4: Simplify right side
    277.71x = 109,606.50
  5. Step 5: Solve for x
    x = 109,606.50/277.71
  6. Step 6: Final answer
    x = 394.68

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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.