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Finding the Fourth Proportional to 145.80, 201.08 and 110.84

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Solution

The fourth proportional to 145.80, 201.08 and 110.84 is: 152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.80 : 201.08 = 110.84 : x
  2. Step 2: Convert to fraction form
    145.80/201.08 = 110.84/x
  3. Step 3: Cross multiply
    145.80x = 201.08 × 110.84
  4. Step 4: Simplify right side
    145.80x = 22,286.15
  5. Step 5: Solve for x
    x = 22,286.15/145.80
  6. Step 6: Final answer
    x = 152.85

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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.