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Finding the Fourth Proportional to 317.34, 437.88 and 212.54

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Solution

The fourth proportional to 317.34, 437.88 and 212.54 is: 293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.34 : 437.88 = 212.54 : x
  2. Step 2: Convert to fraction form
    317.34/437.88 = 212.54/x
  3. Step 3: Cross multiply
    317.34x = 437.88 × 212.54
  4. Step 4: Simplify right side
    317.34x = 93,064.83
  5. Step 5: Solve for x
    x = 93,064.83/317.34
  6. Step 6: Final answer
    x = 293.27

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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.