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Finding the Fourth Proportional to 188.08, 280.55 and 187.48

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Solution

The fourth proportional to 188.08, 280.55 and 187.48 is: 279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.08 : 280.55 = 187.48 : x
  2. Step 2: Convert to fraction form
    188.08/280.55 = 187.48/x
  3. Step 3: Cross multiply
    188.08x = 280.55 × 187.48
  4. Step 4: Simplify right side
    188.08x = 52,597.51
  5. Step 5: Solve for x
    x = 52,597.51/188.08
  6. Step 6: Final answer
    x = 279.66

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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.