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Finding the Fourth Proportional to 188.55, 260.10 and 155.79

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Solution

The fourth proportional to 188.55, 260.10 and 155.79 is: 214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.55 : 260.10 = 155.79 : x
  2. Step 2: Convert to fraction form
    188.55/260.10 = 155.79/x
  3. Step 3: Cross multiply
    188.55x = 260.10 × 155.79
  4. Step 4: Simplify right side
    188.55x = 40,520.98
  5. Step 5: Solve for x
    x = 40,520.98/188.55
  6. Step 6: Final answer
    x = 214.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.