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Finding the Fourth Proportional to 131.30, 181.18 and 73.07

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Solution

The fourth proportional to 131.30, 181.18 and 73.07 is: 100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.30 : 181.18 = 73.07 : x
  2. Step 2: Convert to fraction form
    131.30/181.18 = 73.07/x
  3. Step 3: Cross multiply
    131.30x = 181.18 × 73.07
  4. Step 4: Simplify right side
    131.30x = 13,238.82
  5. Step 5: Solve for x
    x = 13,238.82/131.30
  6. Step 6: Final answer
    x = 100.83

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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.