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Finding the Fourth Proportional to 277.59, 383.42 and 207.96

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Solution

The fourth proportional to 277.59, 383.42 and 207.96 is: 287.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.59 : 383.42 = 207.96 : x
  2. Step 2: Convert to fraction form
    277.59/383.42 = 207.96/x
  3. Step 3: Cross multiply
    277.59x = 383.42 × 207.96
  4. Step 4: Simplify right side
    277.59x = 79,734.98
  5. Step 5: Solve for x
    x = 79,734.98/277.59
  6. Step 6: Final answer
    x = 287.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.