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Finding the Fourth Proportional to 317.33, 439.62 and 309.77

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Solution

The fourth proportional to 317.33, 439.62 and 309.77 is: 429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.33 : 439.62 = 309.77 : x
  2. Step 2: Convert to fraction form
    317.33/439.62 = 309.77/x
  3. Step 3: Cross multiply
    317.33x = 439.62 × 309.77
  4. Step 4: Simplify right side
    317.33x = 136,181.09
  5. Step 5: Solve for x
    x = 136,181.09/317.33
  6. Step 6: Final answer
    x = 429.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.