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Finding the Fourth Proportional to 159.51, 237.96 and 142.08

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Solution

The fourth proportional to 159.51, 237.96 and 142.08 is: 211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.51 : 237.96 = 142.08 : x
  2. Step 2: Convert to fraction form
    159.51/237.96 = 142.08/x
  3. Step 3: Cross multiply
    159.51x = 237.96 × 142.08
  4. Step 4: Simplify right side
    159.51x = 33,809.36
  5. Step 5: Solve for x
    x = 33,809.36/159.51
  6. Step 6: Final answer
    x = 211.96

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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.