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Finding the Fourth Proportional to 145.74, 218.82 and 129.54

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Solution

The fourth proportional to 145.74, 218.82 and 129.54 is: 194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.74 : 218.82 = 129.54 : x
  2. Step 2: Convert to fraction form
    145.74/218.82 = 129.54/x
  3. Step 3: Cross multiply
    145.74x = 218.82 × 129.54
  4. Step 4: Simplify right side
    145.74x = 28,345.94
  5. Step 5: Solve for x
    x = 28,345.94/145.74
  6. Step 6: Final answer
    x = 194.50

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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.