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Finding the Fourth Proportional to 343.64, 473.65 and 310.64

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Solution

The fourth proportional to 343.64, 473.65 and 310.64 is: 428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.64 : 473.65 = 310.64 : x
  2. Step 2: Convert to fraction form
    343.64/473.65 = 310.64/x
  3. Step 3: Cross multiply
    343.64x = 473.65 × 310.64
  4. Step 4: Simplify right side
    343.64x = 147,131.49
  5. Step 5: Solve for x
    x = 147,131.49/343.64
  6. Step 6: Final answer
    x = 428.15

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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.