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Finding the Fourth Proportional to 310.64, 462.71 and 296.60

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Solution

The fourth proportional to 310.64, 462.71 and 296.60 is: 441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.64 : 462.71 = 296.60 : x
  2. Step 2: Convert to fraction form
    310.64/462.71 = 296.60/x
  3. Step 3: Cross multiply
    310.64x = 462.71 × 296.60
  4. Step 4: Simplify right side
    310.64x = 137,238.21
  5. Step 5: Solve for x
    x = 137,238.21/310.64
  6. Step 6: Final answer
    x = 441.80

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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.