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Finding the Fourth Proportional to 78.77, 118.09 and 35.42

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Solution

The fourth proportional to 78.77, 118.09 and 35.42 is: 53.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.77 : 118.09 = 35.42 : x
  2. Step 2: Convert to fraction form
    78.77/118.09 = 35.42/x
  3. Step 3: Cross multiply
    78.77x = 118.09 × 35.42
  4. Step 4: Simplify right side
    78.77x = 4,182.75
  5. Step 5: Solve for x
    x = 4,182.75/78.77
  6. Step 6: Final answer
    x = 53.10

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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.