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Finding the Fourth Proportional to 188.10, 260.67 and 184.45

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Solution

The fourth proportional to 188.10, 260.67 and 184.45 is: 255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.10 : 260.67 = 184.45 : x
  2. Step 2: Convert to fraction form
    188.10/260.67 = 184.45/x
  3. Step 3: Cross multiply
    188.10x = 260.67 × 184.45
  4. Step 4: Simplify right side
    188.10x = 48,080.81
  5. Step 5: Solve for x
    x = 48,080.81/188.10
  6. Step 6: Final answer
    x = 255.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.