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Finding the Fourth Proportional to 317.68, 438.77 and 212.59

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Solution

The fourth proportional to 317.68, 438.77 and 212.59 is: 293.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.68 : 438.77 = 212.59 : x
  2. Step 2: Convert to fraction form
    317.68/438.77 = 212.59/x
  3. Step 3: Cross multiply
    317.68x = 438.77 × 212.59
  4. Step 4: Simplify right side
    317.68x = 93,278.11
  5. Step 5: Solve for x
    x = 93,278.11/317.68
  6. Step 6: Final answer
    x = 293.62

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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.