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Finding the Fourth Proportional to 317.76, 474.38 and 269.16

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Solution

The fourth proportional to 317.76, 474.38 and 269.16 is: 401.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.76 : 474.38 = 269.16 : x
  2. Step 2: Convert to fraction form
    317.76/474.38 = 269.16/x
  3. Step 3: Cross multiply
    317.76x = 474.38 × 269.16
  4. Step 4: Simplify right side
    317.76x = 127,682.78
  5. Step 5: Solve for x
    x = 127,682.78/317.76
  6. Step 6: Final answer
    x = 401.82

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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.