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Finding the Fourth Proportional to 145.69, 218.41 and 54.37

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Solution

The fourth proportional to 145.69, 218.41 and 54.37 is: 81.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.69 : 218.41 = 54.37 : x
  2. Step 2: Convert to fraction form
    145.69/218.41 = 54.37/x
  3. Step 3: Cross multiply
    145.69x = 218.41 × 54.37
  4. Step 4: Simplify right side
    145.69x = 11,874.95
  5. Step 5: Solve for x
    x = 11,874.95/145.69
  6. Step 6: Final answer
    x = 81.51

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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.