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Finding the Fourth Proportional to 361.64, 499.08 and 256.84

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Solution

The fourth proportional to 361.64, 499.08 and 256.84 is: 354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.64 : 499.08 = 256.84 : x
  2. Step 2: Convert to fraction form
    361.64/499.08 = 256.84/x
  3. Step 3: Cross multiply
    361.64x = 499.08 × 256.84
  4. Step 4: Simplify right side
    361.64x = 128,183.71
  5. Step 5: Solve for x
    x = 128,183.71/361.64
  6. Step 6: Final answer
    x = 354.45

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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.