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Finding the Fourth Proportional to 356.02, 490.94 and 251.06

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Solution

The fourth proportional to 356.02, 490.94 and 251.06 is: 346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.02 : 490.94 = 251.06 : x
  2. Step 2: Convert to fraction form
    356.02/490.94 = 251.06/x
  3. Step 3: Cross multiply
    356.02x = 490.94 × 251.06
  4. Step 4: Simplify right side
    356.02x = 123,255.40
  5. Step 5: Solve for x
    x = 123,255.40/356.02
  6. Step 6: Final answer
    x = 346.20

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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.