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Finding the Fourth Proportional to 301.88, 416.56 and 174.08

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Solution

The fourth proportional to 301.88, 416.56 and 174.08 is: 240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.88 : 416.56 = 174.08 : x
  2. Step 2: Convert to fraction form
    301.88/416.56 = 174.08/x
  3. Step 3: Cross multiply
    301.88x = 416.56 × 174.08
  4. Step 4: Simplify right side
    301.88x = 72,514.76
  5. Step 5: Solve for x
    x = 72,514.76/301.88
  6. Step 6: Final answer
    x = 240.21

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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.