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Finding the Fourth Proportional to 148.91, 224.80 and 148.10

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Solution

The fourth proportional to 148.91, 224.80 and 148.10 is: 223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.91 : 224.80 = 148.10 : x
  2. Step 2: Convert to fraction form
    148.91/224.80 = 148.10/x
  3. Step 3: Cross multiply
    148.91x = 224.80 × 148.10
  4. Step 4: Simplify right side
    148.91x = 33,291.39
  5. Step 5: Solve for x
    x = 33,291.39/148.91
  6. Step 6: Final answer
    x = 223.57

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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.