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Finding the Fourth Proportional to 318.24, 474.08 and 298.31

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Solution

The fourth proportional to 318.24, 474.08 and 298.31 is: 444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.24 : 474.08 = 298.31 : x
  2. Step 2: Convert to fraction form
    318.24/474.08 = 298.31/x
  3. Step 3: Cross multiply
    318.24x = 474.08 × 298.31
  4. Step 4: Simplify right side
    318.24x = 141,418.94
  5. Step 5: Solve for x
    x = 141,418.94/318.24
  6. Step 6: Final answer
    x = 444.38

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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.