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Finding the Fourth Proportional to 147.69, 204.56 and 138.81

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Solution

The fourth proportional to 147.69, 204.56 and 138.81 is: 192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.69 : 204.56 = 138.81 : x
  2. Step 2: Convert to fraction form
    147.69/204.56 = 138.81/x
  3. Step 3: Cross multiply
    147.69x = 204.56 × 138.81
  4. Step 4: Simplify right side
    147.69x = 28,395.32
  5. Step 5: Solve for x
    x = 28,395.32/147.69
  6. Step 6: Final answer
    x = 192.26

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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.