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Finding the Fourth Proportional to 159.76, 238.10 and 156.56

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Solution

The fourth proportional to 159.76, 238.10 and 156.56 is: 233.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.76 : 238.10 = 156.56 : x
  2. Step 2: Convert to fraction form
    159.76/238.10 = 156.56/x
  3. Step 3: Cross multiply
    159.76x = 238.10 × 156.56
  4. Step 4: Simplify right side
    159.76x = 37,276.94
  5. Step 5: Solve for x
    x = 37,276.94/159.76
  6. Step 6: Final answer
    x = 233.33

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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.