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Finding the Fourth Proportional to 164.05, 244.94 and 148.66

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Solution

The fourth proportional to 164.05, 244.94 and 148.66 is: 221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.05 : 244.94 = 148.66 : x
  2. Step 2: Convert to fraction form
    164.05/244.94 = 148.66/x
  3. Step 3: Cross multiply
    164.05x = 244.94 × 148.66
  4. Step 4: Simplify right side
    164.05x = 36,411.42
  5. Step 5: Solve for x
    x = 36,411.42/164.05
  6. Step 6: Final answer
    x = 221.96

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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.