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Finding the Fourth Proportional to 390.22, 538.33 and 240.71

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Solution

The fourth proportional to 390.22, 538.33 and 240.71 is: 332.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.22 : 538.33 = 240.71 : x
  2. Step 2: Convert to fraction form
    390.22/538.33 = 240.71/x
  3. Step 3: Cross multiply
    390.22x = 538.33 × 240.71
  4. Step 4: Simplify right side
    390.22x = 129,581.41
  5. Step 5: Solve for x
    x = 129,581.41/390.22
  6. Step 6: Final answer
    x = 332.07

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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.