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Finding the Fourth Proportional to 316.45, 471.44 and 301.77

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Solution

The fourth proportional to 316.45, 471.44 and 301.77 is: 449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.45 : 471.44 = 301.77 : x
  2. Step 2: Convert to fraction form
    316.45/471.44 = 301.77/x
  3. Step 3: Cross multiply
    316.45x = 471.44 × 301.77
  4. Step 4: Simplify right side
    316.45x = 142,267.20
  5. Step 5: Solve for x
    x = 142,267.20/316.45
  6. Step 6: Final answer
    x = 449.57

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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.