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Finding the Fourth Proportional to 302.37, 416.89 and 197.31

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Solution

The fourth proportional to 302.37, 416.89 and 197.31 is: 272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.37 : 416.89 = 197.31 : x
  2. Step 2: Convert to fraction form
    302.37/416.89 = 197.31/x
  3. Step 3: Cross multiply
    302.37x = 416.89 × 197.31
  4. Step 4: Simplify right side
    302.37x = 82,256.57
  5. Step 5: Solve for x
    x = 82,256.57/302.37
  6. Step 6: Final answer
    x = 272.04

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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.