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Finding the Fourth Proportional to 302.33, 417.20 and 169.56

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Solution

The fourth proportional to 302.33, 417.20 and 169.56 is: 233.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.33 : 417.20 = 169.56 : x
  2. Step 2: Convert to fraction form
    302.33/417.20 = 169.56/x
  3. Step 3: Cross multiply
    302.33x = 417.20 × 169.56
  4. Step 4: Simplify right side
    302.33x = 70,739.58
  5. Step 5: Solve for x
    x = 70,739.58/302.33
  6. Step 6: Final answer
    x = 233.98

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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.