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Finding the Fourth Proportional to 317.97, 475.08 and 235.35

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Solution

The fourth proportional to 317.97, 475.08 and 235.35 is: 351.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.97 : 475.08 = 235.35 : x
  2. Step 2: Convert to fraction form
    317.97/475.08 = 235.35/x
  3. Step 3: Cross multiply
    317.97x = 475.08 × 235.35
  4. Step 4: Simplify right side
    317.97x = 111,810.08
  5. Step 5: Solve for x
    x = 111,810.08/317.97
  6. Step 6: Final answer
    x = 351.64

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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.