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Finding the Fourth Proportional to 335.82, 506.25 and 313.52

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Solution

The fourth proportional to 335.82, 506.25 and 313.52 is: 472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.82 : 506.25 = 313.52 : x
  2. Step 2: Convert to fraction form
    335.82/506.25 = 313.52/x
  3. Step 3: Cross multiply
    335.82x = 506.25 × 313.52
  4. Step 4: Simplify right side
    335.82x = 158,717.93
  5. Step 5: Solve for x
    x = 158,717.93/335.82
  6. Step 6: Final answer
    x = 472.63

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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.