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Finding the Fourth Proportional to 189.29, 285.64 and 182.51

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Solution

The fourth proportional to 189.29, 285.64 and 182.51 is: 275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.29 : 285.64 = 182.51 : x
  2. Step 2: Convert to fraction form
    189.29/285.64 = 182.51/x
  3. Step 3: Cross multiply
    189.29x = 285.64 × 182.51
  4. Step 4: Simplify right side
    189.29x = 52,132.16
  5. Step 5: Solve for x
    x = 52,132.16/189.29
  6. Step 6: Final answer
    x = 275.41

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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.