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Finding the Fourth Proportional to 390, 537.99 and 262.28

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Solution

The fourth proportional to 390, 537.99 and 262.28 is: 361.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390 : 537.99 = 262.28 : x
  2. Step 2: Convert to fraction form
    390/537.99 = 262.28/x
  3. Step 3: Cross multiply
    390x = 537.99 × 262.28
  4. Step 4: Simplify right side
    390x = 141,101.33
  5. Step 5: Solve for x
    x = 141,101.33/390
  6. Step 6: Final answer
    x = 361.80

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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.