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Finding the Fourth Proportional to 335.89, 504.78 and 314.02

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Solution

The fourth proportional to 335.89, 504.78 and 314.02 is: 471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.89 : 504.78 = 314.02 : x
  2. Step 2: Convert to fraction form
    335.89/504.78 = 314.02/x
  3. Step 3: Cross multiply
    335.89x = 504.78 × 314.02
  4. Step 4: Simplify right side
    335.89x = 158,511.02
  5. Step 5: Solve for x
    x = 158,511.02/335.89
  6. Step 6: Final answer
    x = 471.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.