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Finding the Fourth Proportional to 390.57, 538.88 and 250.59

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Solution

The fourth proportional to 390.57, 538.88 and 250.59 is: 345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.57 : 538.88 = 250.59 : x
  2. Step 2: Convert to fraction form
    390.57/538.88 = 250.59/x
  3. Step 3: Cross multiply
    390.57x = 538.88 × 250.59
  4. Step 4: Simplify right side
    390.57x = 135,036.69
  5. Step 5: Solve for x
    x = 135,036.69/390.57
  6. Step 6: Final answer
    x = 345.74

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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.