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Finding the Fourth Proportional to 390.23, 538.61 and 224.54

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Solution

The fourth proportional to 390.23, 538.61 and 224.54 is: 309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.23 : 538.61 = 224.54 : x
  2. Step 2: Convert to fraction form
    390.23/538.61 = 224.54/x
  3. Step 3: Cross multiply
    390.23x = 538.61 × 224.54
  4. Step 4: Simplify right side
    390.23x = 120,935.67
  5. Step 5: Solve for x
    x = 120,935.67/390.23
  6. Step 6: Final answer
    x = 309.91

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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.