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Finding the Fourth Proportional to 146.16, 201.69 and 109.17

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Solution

The fourth proportional to 146.16, 201.69 and 109.17 is: 150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.16 : 201.69 = 109.17 : x
  2. Step 2: Convert to fraction form
    146.16/201.69 = 109.17/x
  3. Step 3: Cross multiply
    146.16x = 201.69 × 109.17
  4. Step 4: Simplify right side
    146.16x = 22,018.50
  5. Step 5: Solve for x
    x = 22,018.50/146.16
  6. Step 6: Final answer
    x = 150.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.