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Finding the Fourth Proportional to 317.91, 474.25 and 295.82

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Solution

The fourth proportional to 317.91, 474.25 and 295.82 is: 441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.91 : 474.25 = 295.82 : x
  2. Step 2: Convert to fraction form
    317.91/474.25 = 295.82/x
  3. Step 3: Cross multiply
    317.91x = 474.25 × 295.82
  4. Step 4: Simplify right side
    317.91x = 140,292.64
  5. Step 5: Solve for x
    x = 140,292.64/317.91
  6. Step 6: Final answer
    x = 441.30

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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.