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Finding the Fourth Proportional to 310.20, 463.26 and 264.64

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Solution

The fourth proportional to 310.20, 463.26 and 264.64 is: 395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.20 : 463.26 = 264.64 : x
  2. Step 2: Convert to fraction form
    310.20/463.26 = 264.64/x
  3. Step 3: Cross multiply
    310.20x = 463.26 × 264.64
  4. Step 4: Simplify right side
    310.20x = 122,597.13
  5. Step 5: Solve for x
    x = 122,597.13/310.20
  6. Step 6: Final answer
    x = 395.22

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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.