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Finding the Fourth Proportional to 103.53, 154.44 and 87.39

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Solution

The fourth proportional to 103.53, 154.44 and 87.39 is: 130.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.53 : 154.44 = 87.39 : x
  2. Step 2: Convert to fraction form
    103.53/154.44 = 87.39/x
  3. Step 3: Cross multiply
    103.53x = 154.44 × 87.39
  4. Step 4: Simplify right side
    103.53x = 13,496.51
  5. Step 5: Solve for x
    x = 13,496.51/103.53
  6. Step 6: Final answer
    x = 130.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.