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Finding the Fourth Proportional to 336.57, 507.38 and 314.27

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Solution

The fourth proportional to 336.57, 507.38 and 314.27 is: 473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.57 : 507.38 = 314.27 : x
  2. Step 2: Convert to fraction form
    336.57/507.38 = 314.27/x
  3. Step 3: Cross multiply
    336.57x = 507.38 × 314.27
  4. Step 4: Simplify right side
    336.57x = 159,454.31
  5. Step 5: Solve for x
    x = 159,454.31/336.57
  6. Step 6: Final answer
    x = 473.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.