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Finding the Fourth Proportional to 261.13, 390.03 and 224.68

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Solution

The fourth proportional to 261.13, 390.03 and 224.68 is: 335.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.13 : 390.03 = 224.68 : x
  2. Step 2: Convert to fraction form
    261.13/390.03 = 224.68/x
  3. Step 3: Cross multiply
    261.13x = 390.03 × 224.68
  4. Step 4: Simplify right side
    261.13x = 87,631.80
  5. Step 5: Solve for x
    x = 87,631.80/261.13
  6. Step 6: Final answer
    x = 335.59

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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.