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Finding the Fourth Proportional to 145.36, 200.40 and 126.88

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Solution

The fourth proportional to 145.36, 200.40 and 126.88 is: 174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.36 : 200.40 = 126.88 : x
  2. Step 2: Convert to fraction form
    145.36/200.40 = 126.88/x
  3. Step 3: Cross multiply
    145.36x = 200.40 × 126.88
  4. Step 4: Simplify right side
    145.36x = 25,426.75
  5. Step 5: Solve for x
    x = 25,426.75/145.36
  6. Step 6: Final answer
    x = 174.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.