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Finding the Fourth Proportional to 131.58, 181.58 and 105.30

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Solution

The fourth proportional to 131.58, 181.58 and 105.30 is: 145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.58 : 181.58 = 105.30 : x
  2. Step 2: Convert to fraction form
    131.58/181.58 = 105.30/x
  3. Step 3: Cross multiply
    131.58x = 181.58 × 105.30
  4. Step 4: Simplify right side
    131.58x = 19,119.85
  5. Step 5: Solve for x
    x = 19,119.85/131.58
  6. Step 6: Final answer
    x = 145.31

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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.