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Finding the Fourth Proportional to 218.10, 300.89 and 148.22

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Solution

The fourth proportional to 218.10, 300.89 and 148.22 is: 204.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.10 : 300.89 = 148.22 : x
  2. Step 2: Convert to fraction form
    218.10/300.89 = 148.22/x
  3. Step 3: Cross multiply
    218.10x = 300.89 × 148.22
  4. Step 4: Simplify right side
    218.10x = 44,595.67
  5. Step 5: Solve for x
    x = 44,595.67/218.10
  6. Step 6: Final answer
    x = 204.47

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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.