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Finding the Fourth Proportional to 302.23, 416.95 and 197.34

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Solution

The fourth proportional to 302.23, 416.95 and 197.34 is: 272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.23 : 416.95 = 197.34 : x
  2. Step 2: Convert to fraction form
    302.23/416.95 = 197.34/x
  3. Step 3: Cross multiply
    302.23x = 416.95 × 197.34
  4. Step 4: Simplify right side
    302.23x = 82,278.86
  5. Step 5: Solve for x
    x = 82,278.86/302.23
  6. Step 6: Final answer
    x = 272.24

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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.