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Finding the Fourth Proportional to 361.31, 498.86 and 278.28

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Solution

The fourth proportional to 361.31, 498.86 and 278.28 is: 384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.31 : 498.86 = 278.28 : x
  2. Step 2: Convert to fraction form
    361.31/498.86 = 278.28/x
  3. Step 3: Cross multiply
    361.31x = 498.86 × 278.28
  4. Step 4: Simplify right side
    361.31x = 138,821.37
  5. Step 5: Solve for x
    x = 138,821.37/361.31
  6. Step 6: Final answer
    x = 384.22

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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.