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Finding the Fourth Proportional to 148.23, 220.92 and 148.00

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Solution

The fourth proportional to 148.23, 220.92 and 148.00 is: 220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.23 : 220.92 = 148.00 : x
  2. Step 2: Convert to fraction form
    148.23/220.92 = 148.00/x
  3. Step 3: Cross multiply
    148.23x = 220.92 × 148.00
  4. Step 4: Simplify right side
    148.23x = 32,695.05
  5. Step 5: Solve for x
    x = 32,695.05/148.23
  6. Step 6: Final answer
    x = 220.58

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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.