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Finding the Fourth Proportional to 243, 364.55 and 78.51

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Solution

The fourth proportional to 243, 364.55 and 78.51 is: 117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243 : 364.55 = 78.51 : x
  2. Step 2: Convert to fraction form
    243/364.55 = 78.51/x
  3. Step 3: Cross multiply
    243x = 364.55 × 78.51
  4. Step 4: Simplify right side
    243x = 28,620.82
  5. Step 5: Solve for x
    x = 28,620.82/243
  6. Step 6: Final answer
    x = 117.78

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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.