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Finding the Fourth Proportional to 103.40, 154.95 and 45.57

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Solution

The fourth proportional to 103.40, 154.95 and 45.57 is: 68.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.40 : 154.95 = 45.57 : x
  2. Step 2: Convert to fraction form
    103.40/154.95 = 45.57/x
  3. Step 3: Cross multiply
    103.40x = 154.95 × 45.57
  4. Step 4: Simplify right side
    103.40x = 7,061.17
  5. Step 5: Solve for x
    x = 7,061.17/103.40
  6. Step 6: Final answer
    x = 68.29

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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.