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Finding the Fourth Proportional to 188.07, 280.61 and 157.70

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Solution

The fourth proportional to 188.07, 280.61 and 157.70 is: 235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.07 : 280.61 = 157.70 : x
  2. Step 2: Convert to fraction form
    188.07/280.61 = 157.70/x
  3. Step 3: Cross multiply
    188.07x = 280.61 × 157.70
  4. Step 4: Simplify right side
    188.07x = 44,250.01
  5. Step 5: Solve for x
    x = 44,250.01/188.07
  6. Step 6: Final answer
    x = 235.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.