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Finding the Fourth Proportional to 131.77, 181.80 and 79.30

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Solution

The fourth proportional to 131.77, 181.80 and 79.30 is: 109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.77 : 181.80 = 79.30 : x
  2. Step 2: Convert to fraction form
    131.77/181.80 = 79.30/x
  3. Step 3: Cross multiply
    131.77x = 181.80 × 79.30
  4. Step 4: Simplify right side
    131.77x = 14,416.74
  5. Step 5: Solve for x
    x = 14,416.74/131.77
  6. Step 6: Final answer
    x = 109.41

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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.