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Finding the Fourth Proportional to 317.27, 474.23 and 275.81

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Solution

The fourth proportional to 317.27, 474.23 and 275.81 is: 412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.27 : 474.23 = 275.81 : x
  2. Step 2: Convert to fraction form
    317.27/474.23 = 275.81/x
  3. Step 3: Cross multiply
    317.27x = 474.23 × 275.81
  4. Step 4: Simplify right side
    317.27x = 130,797.18
  5. Step 5: Solve for x
    x = 130,797.18/317.27
  6. Step 6: Final answer
    x = 412.26

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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.