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Finding the Fourth Proportional to 165.21, 246.66 and 148.81

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Solution

The fourth proportional to 165.21, 246.66 and 148.81 is: 222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.21 : 246.66 = 148.81 : x
  2. Step 2: Convert to fraction form
    165.21/246.66 = 148.81/x
  3. Step 3: Cross multiply
    165.21x = 246.66 × 148.81
  4. Step 4: Simplify right side
    165.21x = 36,705.67
  5. Step 5: Solve for x
    x = 36,705.67/165.21
  6. Step 6: Final answer
    x = 222.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.