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Finding the Fourth Proportional to 78.37, 116.84 and 76.55

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Solution

The fourth proportional to 78.37, 116.84 and 76.55 is: 114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.37 : 116.84 = 76.55 : x
  2. Step 2: Convert to fraction form
    78.37/116.84 = 76.55/x
  3. Step 3: Cross multiply
    78.37x = 116.84 × 76.55
  4. Step 4: Simplify right side
    78.37x = 8,943.71
  5. Step 5: Solve for x
    x = 8,943.71/78.37
  6. Step 6: Final answer
    x = 114.13

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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.