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Finding the Fourth Proportional to 148, 221.91 and 79.48

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Solution

The fourth proportional to 148, 221.91 and 79.48 is: 119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148 : 221.91 = 79.48 : x
  2. Step 2: Convert to fraction form
    148/221.91 = 79.48/x
  3. Step 3: Cross multiply
    148x = 221.91 × 79.48
  4. Step 4: Simplify right side
    148x = 17,637.41
  5. Step 5: Solve for x
    x = 17,637.41/148
  6. Step 6: Final answer
    x = 119.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.