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Finding the Fourth Proportional to 159.98, 238.28 and 159.23

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Solution

The fourth proportional to 159.98, 238.28 and 159.23 is: 237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.98 : 238.28 = 159.23 : x
  2. Step 2: Convert to fraction form
    159.98/238.28 = 159.23/x
  3. Step 3: Cross multiply
    159.98x = 238.28 × 159.23
  4. Step 4: Simplify right side
    159.98x = 37,941.12
  5. Step 5: Solve for x
    x = 37,941.12/159.98
  6. Step 6: Final answer
    x = 237.17

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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.