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Finding the Fourth Proportional to 501.96, 693.36 and 355.08

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Solution

The fourth proportional to 501.96, 693.36 and 355.08 is: 490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.96 : 693.36 = 355.08 : x
  2. Step 2: Convert to fraction form
    501.96/693.36 = 355.08/x
  3. Step 3: Cross multiply
    501.96x = 693.36 × 355.08
  4. Step 4: Simplify right side
    501.96x = 246,198.27
  5. Step 5: Solve for x
    x = 246,198.27/501.96
  6. Step 6: Final answer
    x = 490.47

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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.