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Finding the Fourth Proportional to 356.49, 490.72 and 309.51

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Solution

The fourth proportional to 356.49, 490.72 and 309.51 is: 426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.49 : 490.72 = 309.51 : x
  2. Step 2: Convert to fraction form
    356.49/490.72 = 309.51/x
  3. Step 3: Cross multiply
    356.49x = 490.72 × 309.51
  4. Step 4: Simplify right side
    356.49x = 151,882.75
  5. Step 5: Solve for x
    x = 151,882.75/356.49
  6. Step 6: Final answer
    x = 426.05

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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.