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Finding the Fourth Proportional to 310.64, 425.66 and 310.16

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Solution

The fourth proportional to 310.64, 425.66 and 310.16 is: 425.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.64 : 425.66 = 310.16 : x
  2. Step 2: Convert to fraction form
    310.64/425.66 = 310.16/x
  3. Step 3: Cross multiply
    310.64x = 425.66 × 310.16
  4. Step 4: Simplify right side
    310.64x = 132,022.71
  5. Step 5: Solve for x
    x = 132,022.71/310.64
  6. Step 6: Final answer
    x = 425.00

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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.