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Finding the Fourth Proportional to 317.28, 473.73 and 298.92

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Solution

The fourth proportional to 317.28, 473.73 and 298.92 is: 446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.28 : 473.73 = 298.92 : x
  2. Step 2: Convert to fraction form
    317.28/473.73 = 298.92/x
  3. Step 3: Cross multiply
    317.28x = 473.73 × 298.92
  4. Step 4: Simplify right side
    317.28x = 141,607.37
  5. Step 5: Solve for x
    x = 141,607.37/317.28
  6. Step 6: Final answer
    x = 446.32

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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.