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Finding the Fourth Proportional to 145.18, 217.26 and 87.37

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Solution

The fourth proportional to 145.18, 217.26 and 87.37 is: 130.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.18 : 217.26 = 87.37 : x
  2. Step 2: Convert to fraction form
    145.18/217.26 = 87.37/x
  3. Step 3: Cross multiply
    145.18x = 217.26 × 87.37
  4. Step 4: Simplify right side
    145.18x = 18,982.01
  5. Step 5: Solve for x
    x = 18,982.01/145.18
  6. Step 6: Final answer
    x = 130.75

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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.