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Finding the Fourth Proportional to 148.90, 224.75 and 148.90

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Solution

The fourth proportional to 148.90, 224.75 and 148.90 is: 224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.90 : 224.75 = 148.90 : x
  2. Step 2: Convert to fraction form
    148.90/224.75 = 148.90/x
  3. Step 3: Cross multiply
    148.90x = 224.75 × 148.90
  4. Step 4: Simplify right side
    148.90x = 33,465.28
  5. Step 5: Solve for x
    x = 33,465.28/148.90
  6. Step 6: Final answer
    x = 224.75

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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.