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Finding the Fourth Proportional to 316.09, 471.49 and 279.64

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Solution

The fourth proportional to 316.09, 471.49 and 279.64 is: 417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.09 : 471.49 = 279.64 : x
  2. Step 2: Convert to fraction form
    316.09/471.49 = 279.64/x
  3. Step 3: Cross multiply
    316.09x = 471.49 × 279.64
  4. Step 4: Simplify right side
    316.09x = 131,847.46
  5. Step 5: Solve for x
    x = 131,847.46/316.09
  6. Step 6: Final answer
    x = 417.12

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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.