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Finding the Fourth Proportional to 309.71, 466.65 and 276.56

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Solution

The fourth proportional to 309.71, 466.65 and 276.56 is: 416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.71 : 466.65 = 276.56 : x
  2. Step 2: Convert to fraction form
    309.71/466.65 = 276.56/x
  3. Step 3: Cross multiply
    309.71x = 466.65 × 276.56
  4. Step 4: Simplify right side
    309.71x = 129,054.39
  5. Step 5: Solve for x
    x = 129,054.39/309.71
  6. Step 6: Final answer
    x = 416.70

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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.