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Finding the Fourth Proportional to 261.37, 360.62 and 150.84

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Solution

The fourth proportional to 261.37, 360.62 and 150.84 is: 208.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.37 : 360.62 = 150.84 : x
  2. Step 2: Convert to fraction form
    261.37/360.62 = 150.84/x
  3. Step 3: Cross multiply
    261.37x = 360.62 × 150.84
  4. Step 4: Simplify right side
    261.37x = 54,396.30
  5. Step 5: Solve for x
    x = 54,396.30/261.37
  6. Step 6: Final answer
    x = 208.12

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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.