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Finding the Fourth Proportional to 188.74, 281.50 and 160.04

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Solution

The fourth proportional to 188.74, 281.50 and 160.04 is: 238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.74 : 281.50 = 160.04 : x
  2. Step 2: Convert to fraction form
    188.74/281.50 = 160.04/x
  3. Step 3: Cross multiply
    188.74x = 281.50 × 160.04
  4. Step 4: Simplify right side
    188.74x = 45,051.26
  5. Step 5: Solve for x
    x = 45,051.26/188.74
  6. Step 6: Final answer
    x = 238.69

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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.