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Finding the Fourth Proportional to 261.22, 390.44 and 255.06

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Solution

The fourth proportional to 261.22, 390.44 and 255.06 is: 381.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.22 : 390.44 = 255.06 : x
  2. Step 2: Convert to fraction form
    261.22/390.44 = 255.06/x
  3. Step 3: Cross multiply
    261.22x = 390.44 × 255.06
  4. Step 4: Simplify right side
    261.22x = 99,585.63
  5. Step 5: Solve for x
    x = 99,585.63/261.22
  6. Step 6: Final answer
    x = 381.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.