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Finding the Fourth Proportional to 356.81, 490.40 and 315.11

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Solution

The fourth proportional to 356.81, 490.40 and 315.11 is: 433.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.81 : 490.40 = 315.11 : x
  2. Step 2: Convert to fraction form
    356.81/490.40 = 315.11/x
  3. Step 3: Cross multiply
    356.81x = 490.40 × 315.11
  4. Step 4: Simplify right side
    356.81x = 154,529.94
  5. Step 5: Solve for x
    x = 154,529.94/356.81
  6. Step 6: Final answer
    x = 433.09

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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.