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Finding the Fourth Proportional to 277.98, 385.49 and 269.07

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Solution

The fourth proportional to 277.98, 385.49 and 269.07 is: 373.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.98 : 385.49 = 269.07 : x
  2. Step 2: Convert to fraction form
    277.98/385.49 = 269.07/x
  3. Step 3: Cross multiply
    277.98x = 385.49 × 269.07
  4. Step 4: Simplify right side
    277.98x = 103,722.45
  5. Step 5: Solve for x
    x = 103,722.45/277.98
  6. Step 6: Final answer
    x = 373.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.