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Finding the Fourth Proportional to 253.78, 380.58 and 138.22

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Solution

The fourth proportional to 253.78, 380.58 and 138.22 is: 207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.78 : 380.58 = 138.22 : x
  2. Step 2: Convert to fraction form
    253.78/380.58 = 138.22/x
  3. Step 3: Cross multiply
    253.78x = 380.58 × 138.22
  4. Step 4: Simplify right side
    253.78x = 52,603.77
  5. Step 5: Solve for x
    x = 52,603.77/253.78
  6. Step 6: Final answer
    x = 207.28

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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.