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Finding the Fourth Proportional to 130.66, 180.34 and 78.26

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Solution

The fourth proportional to 130.66, 180.34 and 78.26 is: 108.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.66 : 180.34 = 78.26 : x
  2. Step 2: Convert to fraction form
    130.66/180.34 = 78.26/x
  3. Step 3: Cross multiply
    130.66x = 180.34 × 78.26
  4. Step 4: Simplify right side
    130.66x = 14,112.31
  5. Step 5: Solve for x
    x = 14,112.31/130.66
  6. Step 6: Final answer
    x = 108.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.