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Finding the Fourth Proportional to 131.46, 181.47 and 84.84

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Solution

The fourth proportional to 131.46, 181.47 and 84.84 is: 117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.46 : 181.47 = 84.84 : x
  2. Step 2: Convert to fraction form
    131.46/181.47 = 84.84/x
  3. Step 3: Cross multiply
    131.46x = 181.47 × 84.84
  4. Step 4: Simplify right side
    131.46x = 15,395.91
  5. Step 5: Solve for x
    x = 15,395.91/131.46
  6. Step 6: Final answer
    x = 117.11

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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.