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Finding the Fourth Proportional to 145.20, 199.80 and 134.94

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Solution

The fourth proportional to 145.20, 199.80 and 134.94 is: 185.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.20 : 199.80 = 134.94 : x
  2. Step 2: Convert to fraction form
    145.20/199.80 = 134.94/x
  3. Step 3: Cross multiply
    145.20x = 199.80 × 134.94
  4. Step 4: Simplify right side
    145.20x = 26,961.01
  5. Step 5: Solve for x
    x = 26,961.01/145.20
  6. Step 6: Final answer
    x = 185.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.