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Finding the Fourth Proportional to 302.19, 417.07 and 169.42

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Solution

The fourth proportional to 302.19, 417.07 and 169.42 is: 233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.19 : 417.07 = 169.42 : x
  2. Step 2: Convert to fraction form
    302.19/417.07 = 169.42/x
  3. Step 3: Cross multiply
    302.19x = 417.07 × 169.42
  4. Step 4: Simplify right side
    302.19x = 70,659.15
  5. Step 5: Solve for x
    x = 70,659.15/302.19
  6. Step 6: Final answer
    x = 233.82

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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.