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Finding the Fourth Proportional to 317.04, 478.05 and 269.25

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Solution

The fourth proportional to 317.04, 478.05 and 269.25 is: 405.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.04 : 478.05 = 269.25 : x
  2. Step 2: Convert to fraction form
    317.04/478.05 = 269.25/x
  3. Step 3: Cross multiply
    317.04x = 478.05 × 269.25
  4. Step 4: Simplify right side
    317.04x = 128,714.96
  5. Step 5: Solve for x
    x = 128,714.96/317.04
  6. Step 6: Final answer
    x = 405.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.