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Finding the Fourth Proportional to 356.15, 490.75 and 262.74

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Solution

The fourth proportional to 356.15, 490.75 and 262.74 is: 362.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.15 : 490.75 = 262.74 : x
  2. Step 2: Convert to fraction form
    356.15/490.75 = 262.74/x
  3. Step 3: Cross multiply
    356.15x = 490.75 × 262.74
  4. Step 4: Simplify right side
    356.15x = 128,939.66
  5. Step 5: Solve for x
    x = 128,939.66/356.15
  6. Step 6: Final answer
    x = 362.04

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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.