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Finding the Fourth Proportional to 335.32, 505.49 and 313.02

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Solution

The fourth proportional to 335.32, 505.49 and 313.02 is: 471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.32 : 505.49 = 313.02 : x
  2. Step 2: Convert to fraction form
    335.32/505.49 = 313.02/x
  3. Step 3: Cross multiply
    335.32x = 505.49 × 313.02
  4. Step 4: Simplify right side
    335.32x = 158,229.26
  5. Step 5: Solve for x
    x = 158,229.26/335.32
  6. Step 6: Final answer
    x = 471.88

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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.