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Finding the Fourth Proportional to 537.89, 742.07 and 390.20

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Solution

The fourth proportional to 537.89, 742.07 and 390.20 is: 538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.89 : 742.07 = 390.20 : x
  2. Step 2: Convert to fraction form
    537.89/742.07 = 390.20/x
  3. Step 3: Cross multiply
    537.89x = 742.07 × 390.20
  4. Step 4: Simplify right side
    537.89x = 289,552.88
  5. Step 5: Solve for x
    x = 289,552.88/537.89
  6. Step 6: Final answer
    x = 538.31

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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.