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Finding the Fourth Proportional to 317.84, 440.86 and 304.40

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Solution

The fourth proportional to 317.84, 440.86 and 304.40 is: 422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.84 : 440.86 = 304.40 : x
  2. Step 2: Convert to fraction form
    317.84/440.86 = 304.40/x
  3. Step 3: Cross multiply
    317.84x = 440.86 × 304.40
  4. Step 4: Simplify right side
    317.84x = 134,197.78
  5. Step 5: Solve for x
    x = 134,197.78/317.84
  6. Step 6: Final answer
    x = 422.22

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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.