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Finding the Fourth Proportional to 301.72, 416.46 and 214.40

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Solution

The fourth proportional to 301.72, 416.46 and 214.40 is: 295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.72 : 416.46 = 214.40 : x
  2. Step 2: Convert to fraction form
    301.72/416.46 = 214.40/x
  3. Step 3: Cross multiply
    301.72x = 416.46 × 214.40
  4. Step 4: Simplify right side
    301.72x = 89,289.02
  5. Step 5: Solve for x
    x = 89,289.02/301.72
  6. Step 6: Final answer
    x = 295.93

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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.