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Finding the Fourth Proportional to 189.18, 285.32 and 187.13

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Solution

The fourth proportional to 189.18, 285.32 and 187.13 is: 282.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.18 : 285.32 = 187.13 : x
  2. Step 2: Convert to fraction form
    189.18/285.32 = 187.13/x
  3. Step 3: Cross multiply
    189.18x = 285.32 × 187.13
  4. Step 4: Simplify right side
    189.18x = 53,393.11
  5. Step 5: Solve for x
    x = 53,393.11/189.18
  6. Step 6: Final answer
    x = 282.23

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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.