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Finding the Fourth Proportional to 159.71, 238.01 and 152.82

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Solution

The fourth proportional to 159.71, 238.01 and 152.82 is: 227.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.71 : 238.01 = 152.82 : x
  2. Step 2: Convert to fraction form
    159.71/238.01 = 152.82/x
  3. Step 3: Cross multiply
    159.71x = 238.01 × 152.82
  4. Step 4: Simplify right side
    159.71x = 36,371.92
  5. Step 5: Solve for x
    x = 36,371.92/159.71
  6. Step 6: Final answer
    x = 227.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.