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Finding the Fourth Proportional to 130.98, 180.71 and 77.80

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Solution

The fourth proportional to 130.98, 180.71 and 77.80 is: 107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.98 : 180.71 = 77.80 : x
  2. Step 2: Convert to fraction form
    130.98/180.71 = 77.80/x
  3. Step 3: Cross multiply
    130.98x = 180.71 × 77.80
  4. Step 4: Simplify right side
    130.98x = 14,058.40
  5. Step 5: Solve for x
    x = 14,058.40/130.98
  6. Step 6: Final answer
    x = 107.33

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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.