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Finding the Fourth Proportional to 145.95, 219.06 and 105.45

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Solution

The fourth proportional to 145.95, 219.06 and 105.45 is: 158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.95 : 219.06 = 105.45 : x
  2. Step 2: Convert to fraction form
    145.95/219.06 = 105.45/x
  3. Step 3: Cross multiply
    145.95x = 219.06 × 105.45
  4. Step 4: Simplify right side
    145.95x = 23,099.88
  5. Step 5: Solve for x
    x = 23,099.88/145.95
  6. Step 6: Final answer
    x = 158.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.