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Finding the Fourth Proportional to 212.41, 317.93 and 151.36

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Solution

The fourth proportional to 212.41, 317.93 and 151.36 is: 226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.41 : 317.93 = 151.36 : x
  2. Step 2: Convert to fraction form
    212.41/317.93 = 151.36/x
  3. Step 3: Cross multiply
    212.41x = 317.93 × 151.36
  4. Step 4: Simplify right side
    212.41x = 48,121.88
  5. Step 5: Solve for x
    x = 48,121.88/212.41
  6. Step 6: Final answer
    x = 226.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.