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Finding the Fourth Proportional to 317.56, 473.92 and 263.56

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Solution

The fourth proportional to 317.56, 473.92 and 263.56 is: 393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.56 : 473.92 = 263.56 : x
  2. Step 2: Convert to fraction form
    317.56/473.92 = 263.56/x
  3. Step 3: Cross multiply
    317.56x = 473.92 × 263.56
  4. Step 4: Simplify right side
    317.56x = 124,906.36
  5. Step 5: Solve for x
    x = 124,906.36/317.56
  6. Step 6: Final answer
    x = 393.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.