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Finding the Fourth Proportional to 148.62, 203.76 and 145.88

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Solution

The fourth proportional to 148.62, 203.76 and 145.88 is: 200.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.62 : 203.76 = 145.88 : x
  2. Step 2: Convert to fraction form
    148.62/203.76 = 145.88/x
  3. Step 3: Cross multiply
    148.62x = 203.76 × 145.88
  4. Step 4: Simplify right side
    148.62x = 29,724.51
  5. Step 5: Solve for x
    x = 29,724.51/148.62
  6. Step 6: Final answer
    x = 200.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.