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Finding the Fourth Proportional to 502.10, 693.12 and 336.37

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Solution

The fourth proportional to 502.10, 693.12 and 336.37 is: 464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.10 : 693.12 = 336.37 : x
  2. Step 2: Convert to fraction form
    502.10/693.12 = 336.37/x
  3. Step 3: Cross multiply
    502.10x = 693.12 × 336.37
  4. Step 4: Simplify right side
    502.10x = 233,141.26
  5. Step 5: Solve for x
    x = 233,141.26/502.10
  6. Step 6: Final answer
    x = 464.33

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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.