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Finding the Fourth Proportional to 300.49, 414.68 and 167.72

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Solution

The fourth proportional to 300.49, 414.68 and 167.72 is: 231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.49 : 414.68 = 167.72 : x
  2. Step 2: Convert to fraction form
    300.49/414.68 = 167.72/x
  3. Step 3: Cross multiply
    300.49x = 414.68 × 167.72
  4. Step 4: Simplify right side
    300.49x = 69,547.22
  5. Step 5: Solve for x
    x = 69,547.22/300.49
  6. Step 6: Final answer
    x = 231.45

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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.