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Finding the Fourth Proportional to 317.93, 474.56 and 317.12

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Solution

The fourth proportional to 317.93, 474.56 and 317.12 is: 473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.93 : 474.56 = 317.12 : x
  2. Step 2: Convert to fraction form
    317.93/474.56 = 317.12/x
  3. Step 3: Cross multiply
    317.93x = 474.56 × 317.12
  4. Step 4: Simplify right side
    317.93x = 150,489.70
  5. Step 5: Solve for x
    x = 150,489.70/317.93
  6. Step 6: Final answer
    x = 473.35

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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.