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Finding the Fourth Proportional to 188.48, 282.74 and 78.77

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Solution

The fourth proportional to 188.48, 282.74 and 78.77 is: 118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.48 : 282.74 = 78.77 : x
  2. Step 2: Convert to fraction form
    188.48/282.74 = 78.77/x
  3. Step 3: Cross multiply
    188.48x = 282.74 × 78.77
  4. Step 4: Simplify right side
    188.48x = 22,271.43
  5. Step 5: Solve for x
    x = 22,271.43/188.48
  6. Step 6: Final answer
    x = 118.16

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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.