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Finding the Fourth Proportional to 161.26, 240.52 and 148

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Solution

The fourth proportional to 161.26, 240.52 and 148 is: 220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.26 : 240.52 = 148 : x
  2. Step 2: Convert to fraction form
    161.26/240.52 = 148/x
  3. Step 3: Cross multiply
    161.26x = 240.52 × 148
  4. Step 4: Simplify right side
    161.26x = 35,596.96
  5. Step 5: Solve for x
    x = 35,596.96/161.26
  6. Step 6: Final answer
    x = 220.74

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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.