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Finding the Fourth Proportional to 103.16, 154.54 and 90.67

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Solution

The fourth proportional to 103.16, 154.54 and 90.67 is: 135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.16 : 154.54 = 90.67 : x
  2. Step 2: Convert to fraction form
    103.16/154.54 = 90.67/x
  3. Step 3: Cross multiply
    103.16x = 154.54 × 90.67
  4. Step 4: Simplify right side
    103.16x = 14,012.16
  5. Step 5: Solve for x
    x = 14,012.16/103.16
  6. Step 6: Final answer
    x = 135.83

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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.