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Finding the Fourth Proportional to 277.32, 416.05 and 138.58

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Solution

The fourth proportional to 277.32, 416.05 and 138.58 is: 207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.32 : 416.05 = 138.58 : x
  2. Step 2: Convert to fraction form
    277.32/416.05 = 138.58/x
  3. Step 3: Cross multiply
    277.32x = 416.05 × 138.58
  4. Step 4: Simplify right side
    277.32x = 57,654.56
  5. Step 5: Solve for x
    x = 57,654.56/277.32
  6. Step 6: Final answer
    x = 207.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.