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Finding the Fourth Proportional to 159.51, 238.05 and 149.07

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Solution

The fourth proportional to 159.51, 238.05 and 149.07 is: 222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.51 : 238.05 = 149.07 : x
  2. Step 2: Convert to fraction form
    159.51/238.05 = 149.07/x
  3. Step 3: Cross multiply
    159.51x = 238.05 × 149.07
  4. Step 4: Simplify right side
    159.51x = 35,486.11
  5. Step 5: Solve for x
    x = 35,486.11/159.51
  6. Step 6: Final answer
    x = 222.47

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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.