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Finding the Fourth Proportional to 261.21, 360.47 and 144.77

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Solution

The fourth proportional to 261.21, 360.47 and 144.77 is: 199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.21 : 360.47 = 144.77 : x
  2. Step 2: Convert to fraction form
    261.21/360.47 = 144.77/x
  3. Step 3: Cross multiply
    261.21x = 360.47 × 144.77
  4. Step 4: Simplify right side
    261.21x = 52,185.24
  5. Step 5: Solve for x
    x = 52,185.24/261.21
  6. Step 6: Final answer
    x = 199.78

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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.