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Finding the Fourth Proportional to 301.69, 416.34 and 214.55

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Solution

The fourth proportional to 301.69, 416.34 and 214.55 is: 296.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.69 : 416.34 = 214.55 : x
  2. Step 2: Convert to fraction form
    301.69/416.34 = 214.55/x
  3. Step 3: Cross multiply
    301.69x = 416.34 × 214.55
  4. Step 4: Simplify right side
    301.69x = 89,325.75
  5. Step 5: Solve for x
    x = 89,325.75/301.69
  6. Step 6: Final answer
    x = 296.08

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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.