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Finding the Fourth Proportional to 261.56, 361.06 and 158.06

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Solution

The fourth proportional to 261.56, 361.06 and 158.06 is: 218.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.56 : 361.06 = 158.06 : x
  2. Step 2: Convert to fraction form
    261.56/361.06 = 158.06/x
  3. Step 3: Cross multiply
    261.56x = 361.06 × 158.06
  4. Step 4: Simplify right side
    261.56x = 57,069.65
  5. Step 5: Solve for x
    x = 57,069.65/261.56
  6. Step 6: Final answer
    x = 218.19

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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.