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Finding the Fourth Proportional to 167.18, 251.78 and 148.16

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Solution

The fourth proportional to 167.18, 251.78 and 148.16 is: 223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.18 : 251.78 = 148.16 : x
  2. Step 2: Convert to fraction form
    167.18/251.78 = 148.16/x
  3. Step 3: Cross multiply
    167.18x = 251.78 × 148.16
  4. Step 4: Simplify right side
    167.18x = 37,303.72
  5. Step 5: Solve for x
    x = 37,303.72/167.18
  6. Step 6: Final answer
    x = 223.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.