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Finding the Fourth Proportional to 309.76, 466.48 and 261.43

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Solution

The fourth proportional to 309.76, 466.48 and 261.43 is: 393.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.76 : 466.48 = 261.43 : x
  2. Step 2: Convert to fraction form
    309.76/466.48 = 261.43/x
  3. Step 3: Cross multiply
    309.76x = 466.48 × 261.43
  4. Step 4: Simplify right side
    309.76x = 121,951.87
  5. Step 5: Solve for x
    x = 121,951.87/309.76
  6. Step 6: Final answer
    x = 393.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.