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Finding the Fourth Proportional to 145.74, 217.09 and 142.50

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Solution

The fourth proportional to 145.74, 217.09 and 142.50 is: 212.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.74 : 217.09 = 142.50 : x
  2. Step 2: Convert to fraction form
    145.74/217.09 = 142.50/x
  3. Step 3: Cross multiply
    145.74x = 217.09 × 142.50
  4. Step 4: Simplify right side
    145.74x = 30,935.33
  5. Step 5: Solve for x
    x = 30,935.33/145.74
  6. Step 6: Final answer
    x = 212.26

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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.