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Finding the Fourth Proportional to 188, 282 and 72.50

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Solution

The fourth proportional to 188, 282 and 72.50 is: 108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188 : 282 = 72.50 : x
  2. Step 2: Convert to fraction form
    188/282 = 72.50/x
  3. Step 3: Cross multiply
    188x = 282 × 72.50
  4. Step 4: Simplify right side
    188x = 20,445
  5. Step 5: Solve for x
    x = 20,445/188
  6. Step 6: Final answer
    x = 108.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.