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Finding the Fourth Proportional to 367.47, 551.18 and 213.01

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Solution

The fourth proportional to 367.47, 551.18 and 213.01 is: 319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.47 : 551.18 = 213.01 : x
  2. Step 2: Convert to fraction form
    367.47/551.18 = 213.01/x
  3. Step 3: Cross multiply
    367.47x = 551.18 × 213.01
  4. Step 4: Simplify right side
    367.47x = 117,406.01
  5. Step 5: Solve for x
    x = 117,406.01/367.47
  6. Step 6: Final answer
    x = 319.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.