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Finding the Fourth Proportional to 103.09, 153.88 and 90.94

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Solution

The fourth proportional to 103.09, 153.88 and 90.94 is: 135.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.09 : 153.88 = 90.94 : x
  2. Step 2: Convert to fraction form
    103.09/153.88 = 90.94/x
  3. Step 3: Cross multiply
    103.09x = 153.88 × 90.94
  4. Step 4: Simplify right side
    103.09x = 13,993.85
  5. Step 5: Solve for x
    x = 13,993.85/103.09
  6. Step 6: Final answer
    x = 135.74

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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.