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Finding the Fourth Proportional to 324.64, 448.01 and 193.71

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Solution

The fourth proportional to 324.64, 448.01 and 193.71 is: 267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.64 : 448.01 = 193.71 : x
  2. Step 2: Convert to fraction form
    324.64/448.01 = 193.71/x
  3. Step 3: Cross multiply
    324.64x = 448.01 × 193.71
  4. Step 4: Simplify right side
    324.64x = 86,784.02
  5. Step 5: Solve for x
    x = 86,784.02/324.64
  6. Step 6: Final answer
    x = 267.32

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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.