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Finding the Fourth Proportional to 316.15, 471.71 and 285.49

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Solution

The fourth proportional to 316.15, 471.71 and 285.49 is: 425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.15 : 471.71 = 285.49 : x
  2. Step 2: Convert to fraction form
    316.15/471.71 = 285.49/x
  3. Step 3: Cross multiply
    316.15x = 471.71 × 285.49
  4. Step 4: Simplify right side
    316.15x = 134,668.49
  5. Step 5: Solve for x
    x = 134,668.49/316.15
  6. Step 6: Final answer
    x = 425.96

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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.