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Finding the Fourth Proportional to 390.48, 537.64 and 331.35

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Solution

The fourth proportional to 390.48, 537.64 and 331.35 is: 456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.48 : 537.64 = 331.35 : x
  2. Step 2: Convert to fraction form
    390.48/537.64 = 331.35/x
  3. Step 3: Cross multiply
    390.48x = 537.64 × 331.35
  4. Step 4: Simplify right side
    390.48x = 178,147.95
  5. Step 5: Solve for x
    x = 178,147.95/390.48
  6. Step 6: Final answer
    x = 456.22

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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.