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Finding the Fourth Proportional to 302.08, 416.89 and 171.10

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Solution

The fourth proportional to 302.08, 416.89 and 171.10 is: 236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.08 : 416.89 = 171.10 : x
  2. Step 2: Convert to fraction form
    302.08/416.89 = 171.10/x
  3. Step 3: Cross multiply
    302.08x = 416.89 × 171.10
  4. Step 4: Simplify right side
    302.08x = 71,329.88
  5. Step 5: Solve for x
    x = 71,329.88/302.08
  6. Step 6: Final answer
    x = 236.13

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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.