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Finding the Fourth Proportional to 188.64, 258.72 and 184.56

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Solution

The fourth proportional to 188.64, 258.72 and 184.56 is: 253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.64 : 258.72 = 184.56 : x
  2. Step 2: Convert to fraction form
    188.64/258.72 = 184.56/x
  3. Step 3: Cross multiply
    188.64x = 258.72 × 184.56
  4. Step 4: Simplify right side
    188.64x = 47,749.36
  5. Step 5: Solve for x
    x = 47,749.36/188.64
  6. Step 6: Final answer
    x = 253.12

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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.