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Finding the Fourth Proportional to 364.17, 547.07 and 219.99

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Solution

The fourth proportional to 364.17, 547.07 and 219.99 is: 330.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.17 : 547.07 = 219.99 : x
  2. Step 2: Convert to fraction form
    364.17/547.07 = 219.99/x
  3. Step 3: Cross multiply
    364.17x = 547.07 × 219.99
  4. Step 4: Simplify right side
    364.17x = 120,349.93
  5. Step 5: Solve for x
    x = 120,349.93/364.17
  6. Step 6: Final answer
    x = 330.48

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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.