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Finding the Fourth Proportional to 302.95, 418.07 and 171.98

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Solution

The fourth proportional to 302.95, 418.07 and 171.98 is: 237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.95 : 418.07 = 171.98 : x
  2. Step 2: Convert to fraction form
    302.95/418.07 = 171.98/x
  3. Step 3: Cross multiply
    302.95x = 418.07 × 171.98
  4. Step 4: Simplify right side
    302.95x = 71,899.68
  5. Step 5: Solve for x
    x = 71,899.68/302.95
  6. Step 6: Final answer
    x = 237.33

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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.