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Finding the Fourth Proportional to 361.18, 495.40 and 358.10

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Solution

The fourth proportional to 361.18, 495.40 and 358.10 is: 491.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.18 : 495.40 = 358.10 : x
  2. Step 2: Convert to fraction form
    361.18/495.40 = 358.10/x
  3. Step 3: Cross multiply
    361.18x = 495.40 × 358.10
  4. Step 4: Simplify right side
    361.18x = 177,402.74
  5. Step 5: Solve for x
    x = 177,402.74/361.18
  6. Step 6: Final answer
    x = 491.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.