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Finding the Fourth Proportional to 362.97, 501.13 and 278.78

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Solution

The fourth proportional to 362.97, 501.13 and 278.78 is: 384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.97 : 501.13 = 278.78 : x
  2. Step 2: Convert to fraction form
    362.97/501.13 = 278.78/x
  3. Step 3: Cross multiply
    362.97x = 501.13 × 278.78
  4. Step 4: Simplify right side
    362.97x = 139,703.63
  5. Step 5: Solve for x
    x = 139,703.63/362.97
  6. Step 6: Final answer
    x = 384.90

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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.