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Finding the Fourth Proportional to 316.85, 471.74 and 312.30

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Solution

The fourth proportional to 316.85, 471.74 and 312.30 is: 464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.85 : 471.74 = 312.30 : x
  2. Step 2: Convert to fraction form
    316.85/471.74 = 312.30/x
  3. Step 3: Cross multiply
    316.85x = 471.74 × 312.30
  4. Step 4: Simplify right side
    316.85x = 147,322.84
  5. Step 5: Solve for x
    x = 147,322.84/316.85
  6. Step 6: Final answer
    x = 464.97

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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.