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Finding the Fourth Proportional to 102.36, 152.77 and 78.20

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Solution

The fourth proportional to 102.36, 152.77 and 78.20 is: 116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.36 : 152.77 = 78.20 : x
  2. Step 2: Convert to fraction form
    102.36/152.77 = 78.20/x
  3. Step 3: Cross multiply
    102.36x = 152.77 × 78.20
  4. Step 4: Simplify right side
    102.36x = 11,946.61
  5. Step 5: Solve for x
    x = 11,946.61/102.36
  6. Step 6: Final answer
    x = 116.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.