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Finding the Fourth Proportional to 389.79, 537.91 and 224.01

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Solution

The fourth proportional to 389.79, 537.91 and 224.01 is: 309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.79 : 537.91 = 224.01 : x
  2. Step 2: Convert to fraction form
    389.79/537.91 = 224.01/x
  3. Step 3: Cross multiply
    389.79x = 537.91 × 224.01
  4. Step 4: Simplify right side
    389.79x = 120,498.68
  5. Step 5: Solve for x
    x = 120,498.68/389.79
  6. Step 6: Final answer
    x = 309.14

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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.