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Finding the Fourth Proportional to 335.57, 505.87 and 313.27

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Solution

The fourth proportional to 335.57, 505.87 and 313.27 is: 472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.57 : 505.87 = 313.27 : x
  2. Step 2: Convert to fraction form
    335.57/505.87 = 313.27/x
  3. Step 3: Cross multiply
    335.57x = 505.87 × 313.27
  4. Step 4: Simplify right side
    335.57x = 158,473.89
  5. Step 5: Solve for x
    x = 158,473.89/335.57
  6. Step 6: Final answer
    x = 472.25

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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.