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Finding the Fourth Proportional to 316.79, 477.72 and 312.46

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Solution

The fourth proportional to 316.79, 477.72 and 312.46 is: 471.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.79 : 477.72 = 312.46 : x
  2. Step 2: Convert to fraction form
    316.79/477.72 = 312.46/x
  3. Step 3: Cross multiply
    316.79x = 477.72 × 312.46
  4. Step 4: Simplify right side
    316.79x = 149,268.39
  5. Step 5: Solve for x
    x = 149,268.39/316.79
  6. Step 6: Final answer
    x = 471.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.