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Finding the Fourth Proportional to 212.28, 319.53 and 151.83

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Solution

The fourth proportional to 212.28, 319.53 and 151.83 is: 228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.28 : 319.53 = 151.83 : x
  2. Step 2: Convert to fraction form
    212.28/319.53 = 151.83/x
  3. Step 3: Cross multiply
    212.28x = 319.53 × 151.83
  4. Step 4: Simplify right side
    212.28x = 48,514.24
  5. Step 5: Solve for x
    x = 48,514.24/212.28
  6. Step 6: Final answer
    x = 228.54

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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.