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Finding the Fourth Proportional to 310.94, 428.61 and 264.16

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Solution

The fourth proportional to 310.94, 428.61 and 264.16 is: 364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.94 : 428.61 = 264.16 : x
  2. Step 2: Convert to fraction form
    310.94/428.61 = 264.16/x
  3. Step 3: Cross multiply
    310.94x = 428.61 × 264.16
  4. Step 4: Simplify right side
    310.94x = 113,220.55
  5. Step 5: Solve for x
    x = 113,220.55/310.94
  6. Step 6: Final answer
    x = 364.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.