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Finding the Fourth Proportional to 302.93, 418.01 and 170.13

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Solution

The fourth proportional to 302.93, 418.01 and 170.13 is: 234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.93 : 418.01 = 170.13 : x
  2. Step 2: Convert to fraction form
    302.93/418.01 = 170.13/x
  3. Step 3: Cross multiply
    302.93x = 418.01 × 170.13
  4. Step 4: Simplify right side
    302.93x = 71,113.95
  5. Step 5: Solve for x
    x = 71,113.95/302.93
  6. Step 6: Final answer
    x = 234.75

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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.