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Finding the Fourth Proportional to 317.96, 478.16 and 269.36

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Solution

The fourth proportional to 317.96, 478.16 and 269.36 is: 405.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.96 : 478.16 = 269.36 : x
  2. Step 2: Convert to fraction form
    317.96/478.16 = 269.36/x
  3. Step 3: Cross multiply
    317.96x = 478.16 × 269.36
  4. Step 4: Simplify right side
    317.96x = 128,797.18
  5. Step 5: Solve for x
    x = 128,797.18/317.96
  6. Step 6: Final answer
    x = 405.07

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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.