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Finding the Fourth Proportional to 317.86, 478.64 and 231.80

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Solution

The fourth proportional to 317.86, 478.64 and 231.80 is: 349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.86 : 478.64 = 231.80 : x
  2. Step 2: Convert to fraction form
    317.86/478.64 = 231.80/x
  3. Step 3: Cross multiply
    317.86x = 478.64 × 231.80
  4. Step 4: Simplify right side
    317.86x = 110,946.94
  5. Step 5: Solve for x
    x = 110,946.94/317.86
  6. Step 6: Final answer
    x = 349.05

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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.