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Finding the Fourth Proportional to 131.37, 181.28 and 73.16

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Solution

The fourth proportional to 131.37, 181.28 and 73.16 is: 100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.37 : 181.28 = 73.16 : x
  2. Step 2: Convert to fraction form
    131.37/181.28 = 73.16/x
  3. Step 3: Cross multiply
    131.37x = 181.28 × 73.16
  4. Step 4: Simplify right side
    131.37x = 13,261.17
  5. Step 5: Solve for x
    x = 13,261.17/131.37
  6. Step 6: Final answer
    x = 100.95

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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.