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Finding the Fourth Proportional to 261.03, 389.76 and 212.43

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Solution

The fourth proportional to 261.03, 389.76 and 212.43 is: 317.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.03 : 389.76 = 212.43 : x
  2. Step 2: Convert to fraction form
    261.03/389.76 = 212.43/x
  3. Step 3: Cross multiply
    261.03x = 389.76 × 212.43
  4. Step 4: Simplify right side
    261.03x = 82,796.72
  5. Step 5: Solve for x
    x = 82,796.72/261.03
  6. Step 6: Final answer
    x = 317.19

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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.