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Finding the Fourth Proportional to 145.27, 217.36 and 135.35

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Solution

The fourth proportional to 145.27, 217.36 and 135.35 is: 202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.27 : 217.36 = 135.35 : x
  2. Step 2: Convert to fraction form
    145.27/217.36 = 135.35/x
  3. Step 3: Cross multiply
    145.27x = 217.36 × 135.35
  4. Step 4: Simplify right side
    145.27x = 29,419.68
  5. Step 5: Solve for x
    x = 29,419.68/145.27
  6. Step 6: Final answer
    x = 202.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.