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Finding the Fourth Proportional to 131.51, 181.28 and 106.91

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Solution

The fourth proportional to 131.51, 181.28 and 106.91 is: 147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.51 : 181.28 = 106.91 : x
  2. Step 2: Convert to fraction form
    131.51/181.28 = 106.91/x
  3. Step 3: Cross multiply
    131.51x = 181.28 × 106.91
  4. Step 4: Simplify right side
    131.51x = 19,379.20
  5. Step 5: Solve for x
    x = 19,379.20/131.51
  6. Step 6: Final answer
    x = 147.36

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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.