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Finding the Fourth Proportional to 188.04, 280.62 and 167.54

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Solution

The fourth proportional to 188.04, 280.62 and 167.54 is: 250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.04 : 280.62 = 167.54 : x
  2. Step 2: Convert to fraction form
    188.04/280.62 = 167.54/x
  3. Step 3: Cross multiply
    188.04x = 280.62 × 167.54
  4. Step 4: Simplify right side
    188.04x = 47,013.67
  5. Step 5: Solve for x
    x = 47,013.67/188.04
  6. Step 6: Final answer
    x = 250.02

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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.