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Finding the Fourth Proportional to 145.07, 218.54 and 141.43

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Solution

The fourth proportional to 145.07, 218.54 and 141.43 is: 213.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.07 : 218.54 = 141.43 : x
  2. Step 2: Convert to fraction form
    145.07/218.54 = 141.43/x
  3. Step 3: Cross multiply
    145.07x = 218.54 × 141.43
  4. Step 4: Simplify right side
    145.07x = 30,906.86
  5. Step 5: Solve for x
    x = 30,906.86/145.07
  6. Step 6: Final answer
    x = 213.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.