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Finding the Fourth Proportional to 148.64, 223.76 and 114.59

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Solution

The fourth proportional to 148.64, 223.76 and 114.59 is: 172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.64 : 223.76 = 114.59 : x
  2. Step 2: Convert to fraction form
    148.64/223.76 = 114.59/x
  3. Step 3: Cross multiply
    148.64x = 223.76 × 114.59
  4. Step 4: Simplify right side
    148.64x = 25,640.66
  5. Step 5: Solve for x
    x = 25,640.66/148.64
  6. Step 6: Final answer
    x = 172.50

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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.