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Finding the Fourth Proportional to 189.36, 285.03 and 146.25

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Solution

The fourth proportional to 189.36, 285.03 and 146.25 is: 220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.36 : 285.03 = 146.25 : x
  2. Step 2: Convert to fraction form
    189.36/285.03 = 146.25/x
  3. Step 3: Cross multiply
    189.36x = 285.03 × 146.25
  4. Step 4: Simplify right side
    189.36x = 41,685.64
  5. Step 5: Solve for x
    x = 41,685.64/189.36
  6. Step 6: Final answer
    x = 220.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.