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Finding the Fourth Proportional to 361.88, 499.58 and 340.28

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Solution

The fourth proportional to 361.88, 499.58 and 340.28 is: 469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.88 : 499.58 = 340.28 : x
  2. Step 2: Convert to fraction form
    361.88/499.58 = 340.28/x
  3. Step 3: Cross multiply
    361.88x = 499.58 × 340.28
  4. Step 4: Simplify right side
    361.88x = 169,997.08
  5. Step 5: Solve for x
    x = 169,997.08/361.88
  6. Step 6: Final answer
    x = 469.76

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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.