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Finding the Fourth Proportional to 146.42, 201.72 and 114.98

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Solution

The fourth proportional to 146.42, 201.72 and 114.98 is: 158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.42 : 201.72 = 114.98 : x
  2. Step 2: Convert to fraction form
    146.42/201.72 = 114.98/x
  3. Step 3: Cross multiply
    146.42x = 201.72 × 114.98
  4. Step 4: Simplify right side
    146.42x = 23,193.77
  5. Step 5: Solve for x
    x = 23,193.77/146.42
  6. Step 6: Final answer
    x = 158.41

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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.