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Finding the Fourth Proportional to 302.95, 418.10 and 171.98

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Solution

The fourth proportional to 302.95, 418.10 and 171.98 is: 237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.95 : 418.10 = 171.98 : x
  2. Step 2: Convert to fraction form
    302.95/418.10 = 171.98/x
  3. Step 3: Cross multiply
    302.95x = 418.10 × 171.98
  4. Step 4: Simplify right side
    302.95x = 71,904.75
  5. Step 5: Solve for x
    x = 71,904.75/302.95
  6. Step 6: Final answer
    x = 237.35

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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.