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Finding the Fourth Proportional to 317.58, 475.83 and 195.58

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Solution

The fourth proportional to 317.58, 475.83 and 195.58 is: 293.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.58 : 475.83 = 195.58 : x
  2. Step 2: Convert to fraction form
    317.58/475.83 = 195.58/x
  3. Step 3: Cross multiply
    317.58x = 475.83 × 195.58
  4. Step 4: Simplify right side
    317.58x = 93,062.83
  5. Step 5: Solve for x
    x = 93,062.83/317.58
  6. Step 6: Final answer
    x = 293.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.