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Finding the Fourth Proportional to 301.54, 450.44 and 214.18

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Solution

The fourth proportional to 301.54, 450.44 and 214.18 is: 319.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.54 : 450.44 = 214.18 : x
  2. Step 2: Convert to fraction form
    301.54/450.44 = 214.18/x
  3. Step 3: Cross multiply
    301.54x = 450.44 × 214.18
  4. Step 4: Simplify right side
    301.54x = 96,475.14
  5. Step 5: Solve for x
    x = 96,475.14/301.54
  6. Step 6: Final answer
    x = 319.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.