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Finding the Fourth Proportional to 151.07, 227.91 and 143.47

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Solution

The fourth proportional to 151.07, 227.91 and 143.47 is: 216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.07 : 227.91 = 143.47 : x
  2. Step 2: Convert to fraction form
    151.07/227.91 = 143.47/x
  3. Step 3: Cross multiply
    151.07x = 227.91 × 143.47
  4. Step 4: Simplify right side
    151.07x = 32,699.07
  5. Step 5: Solve for x
    x = 32,699.07/151.07
  6. Step 6: Final answer
    x = 216.46

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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.