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Finding the Fourth Proportional to 188.55, 282.93 and 111.60

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Solution

The fourth proportional to 188.55, 282.93 and 111.60 is: 167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.55 : 282.93 = 111.60 : x
  2. Step 2: Convert to fraction form
    188.55/282.93 = 111.60/x
  3. Step 3: Cross multiply
    188.55x = 282.93 × 111.60
  4. Step 4: Simplify right side
    188.55x = 31,574.99
  5. Step 5: Solve for x
    x = 31,574.99/188.55
  6. Step 6: Final answer
    x = 167.46

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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.