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Finding the Fourth Proportional to 151.96, 228.06 and 78.84

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Solution

The fourth proportional to 151.96, 228.06 and 78.84 is: 118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.96 : 228.06 = 78.84 : x
  2. Step 2: Convert to fraction form
    151.96/228.06 = 78.84/x
  3. Step 3: Cross multiply
    151.96x = 228.06 × 78.84
  4. Step 4: Simplify right side
    151.96x = 17,980.25
  5. Step 5: Solve for x
    x = 17,980.25/151.96
  6. Step 6: Final answer
    x = 118.32

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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.