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Finding the Fourth Proportional to 316.35, 471.29 and 304.74

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Solution

The fourth proportional to 316.35, 471.29 and 304.74 is: 453.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.35 : 471.29 = 304.74 : x
  2. Step 2: Convert to fraction form
    316.35/471.29 = 304.74/x
  3. Step 3: Cross multiply
    316.35x = 471.29 × 304.74
  4. Step 4: Simplify right side
    316.35x = 143,619.39
  5. Step 5: Solve for x
    x = 143,619.39/316.35
  6. Step 6: Final answer
    x = 453.99

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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.