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Finding the Fourth Proportional to 145.14, 216.09 and 143.35

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Solution

The fourth proportional to 145.14, 216.09 and 143.35 is: 213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.14 : 216.09 = 143.35 : x
  2. Step 2: Convert to fraction form
    145.14/216.09 = 143.35/x
  3. Step 3: Cross multiply
    145.14x = 216.09 × 143.35
  4. Step 4: Simplify right side
    145.14x = 30,975.96
  5. Step 5: Solve for x
    x = 30,975.96/145.14
  6. Step 6: Final answer
    x = 213.43

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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.