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Finding the Fourth Proportional to 160.07, 238.91 and 149.36

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Solution

The fourth proportional to 160.07, 238.91 and 149.36 is: 222.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.07 : 238.91 = 149.36 : x
  2. Step 2: Convert to fraction form
    160.07/238.91 = 149.36/x
  3. Step 3: Cross multiply
    160.07x = 238.91 × 149.36
  4. Step 4: Simplify right side
    160.07x = 35,681.66
  5. Step 5: Solve for x
    x = 35,681.66/160.07
  6. Step 6: Final answer
    x = 222.92

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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.