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Finding the Fourth Proportional to 361.78, 498.54 and 256.99

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Solution

The fourth proportional to 361.78, 498.54 and 256.99 is: 354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.78 : 498.54 = 256.99 : x
  2. Step 2: Convert to fraction form
    361.78/498.54 = 256.99/x
  3. Step 3: Cross multiply
    361.78x = 498.54 × 256.99
  4. Step 4: Simplify right side
    361.78x = 128,119.79
  5. Step 5: Solve for x
    x = 128,119.79/361.78
  6. Step 6: Final answer
    x = 354.14

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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.