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Finding the Fourth Proportional to 189.23, 258.57 and 188.01

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Solution

The fourth proportional to 189.23, 258.57 and 188.01 is: 256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.23 : 258.57 = 188.01 : x
  2. Step 2: Convert to fraction form
    189.23/258.57 = 188.01/x
  3. Step 3: Cross multiply
    189.23x = 258.57 × 188.01
  4. Step 4: Simplify right side
    189.23x = 48,613.75
  5. Step 5: Solve for x
    x = 48,613.75/189.23
  6. Step 6: Final answer
    x = 256.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.