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Finding the Fourth Proportional to 310.76, 426.06 and 305.98

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Solution

The fourth proportional to 310.76, 426.06 and 305.98 is: 419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.76 : 426.06 = 305.98 : x
  2. Step 2: Convert to fraction form
    310.76/426.06 = 305.98/x
  3. Step 3: Cross multiply
    310.76x = 426.06 × 305.98
  4. Step 4: Simplify right side
    310.76x = 130,364.77
  5. Step 5: Solve for x
    x = 130,364.77/310.76
  6. Step 6: Final answer
    x = 419.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.