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Finding the Fourth Proportional to 361.68, 502.46 and 358.30

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Solution

The fourth proportional to 361.68, 502.46 and 358.30 is: 497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.68 : 502.46 = 358.30 : x
  2. Step 2: Convert to fraction form
    361.68/502.46 = 358.30/x
  3. Step 3: Cross multiply
    361.68x = 502.46 × 358.30
  4. Step 4: Simplify right side
    361.68x = 180,031.42
  5. Step 5: Solve for x
    x = 180,031.42/361.68
  6. Step 6: Final answer
    x = 497.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.