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Finding the Fourth Proportional to 146.16, 202.08 and 120.72

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Solution

The fourth proportional to 146.16, 202.08 and 120.72 is: 166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.16 : 202.08 = 120.72 : x
  2. Step 2: Convert to fraction form
    146.16/202.08 = 120.72/x
  3. Step 3: Cross multiply
    146.16x = 202.08 × 120.72
  4. Step 4: Simplify right side
    146.16x = 24,395.10
  5. Step 5: Solve for x
    x = 24,395.10/146.16
  6. Step 6: Final answer
    x = 166.91

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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.