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Finding the Fourth Proportional to 301.52, 416.10 and 168.74

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Solution

The fourth proportional to 301.52, 416.10 and 168.74 is: 232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.52 : 416.10 = 168.74 : x
  2. Step 2: Convert to fraction form
    301.52/416.10 = 168.74/x
  3. Step 3: Cross multiply
    301.52x = 416.10 × 168.74
  4. Step 4: Simplify right side
    301.52x = 70,212.71
  5. Step 5: Solve for x
    x = 70,212.71/301.52
  6. Step 6: Final answer
    x = 232.86

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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.