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Finding the Fourth Proportional to 145.12, 216.45 and 126.96

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Solution

The fourth proportional to 145.12, 216.45 and 126.96 is: 189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.12 : 216.45 = 126.96 : x
  2. Step 2: Convert to fraction form
    145.12/216.45 = 126.96/x
  3. Step 3: Cross multiply
    145.12x = 216.45 × 126.96
  4. Step 4: Simplify right side
    145.12x = 27,480.49
  5. Step 5: Solve for x
    x = 27,480.49/145.12
  6. Step 6: Final answer
    x = 189.36

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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.