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Finding the Fourth Proportional to 394.47, 588.87 and 313.20

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Solution

The fourth proportional to 394.47, 588.87 and 313.20 is: 467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.47 : 588.87 = 313.20 : x
  2. Step 2: Convert to fraction form
    394.47/588.87 = 313.20/x
  3. Step 3: Cross multiply
    394.47x = 588.87 × 313.20
  4. Step 4: Simplify right side
    394.47x = 184,434.08
  5. Step 5: Solve for x
    x = 184,434.08/394.47
  6. Step 6: Final answer
    x = 467.55

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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.