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Finding the Fourth Proportional to 317.83, 438.69 and 185.11

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Solution

The fourth proportional to 317.83, 438.69 and 185.11 is: 255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.83 : 438.69 = 185.11 : x
  2. Step 2: Convert to fraction form
    317.83/438.69 = 185.11/x
  3. Step 3: Cross multiply
    317.83x = 438.69 × 185.11
  4. Step 4: Simplify right side
    317.83x = 81,203.71
  5. Step 5: Solve for x
    x = 81,203.71/317.83
  6. Step 6: Final answer
    x = 255.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.