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Finding the Fourth Proportional to 130.98, 180.77 and 72.77

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Solution

The fourth proportional to 130.98, 180.77 and 72.77 is: 100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.98 : 180.77 = 72.77 : x
  2. Step 2: Convert to fraction form
    130.98/180.77 = 72.77/x
  3. Step 3: Cross multiply
    130.98x = 180.77 × 72.77
  4. Step 4: Simplify right side
    130.98x = 13,154.63
  5. Step 5: Solve for x
    x = 13,154.63/130.98
  6. Step 6: Final answer
    x = 100.43

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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.