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Finding the Fourth Proportional to 356.29, 490.47 and 309.01

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Solution

The fourth proportional to 356.29, 490.47 and 309.01 is: 425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.29 : 490.47 = 309.01 : x
  2. Step 2: Convert to fraction form
    356.29/490.47 = 309.01/x
  3. Step 3: Cross multiply
    356.29x = 490.47 × 309.01
  4. Step 4: Simplify right side
    356.29x = 151,560.13
  5. Step 5: Solve for x
    x = 151,560.13/356.29
  6. Step 6: Final answer
    x = 425.38

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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.