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Finding the Fourth Proportional to 313.44, 471.86 and 285.18

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Solution

The fourth proportional to 313.44, 471.86 and 285.18 is: 429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.44 : 471.86 = 285.18 : x
  2. Step 2: Convert to fraction form
    313.44/471.86 = 285.18/x
  3. Step 3: Cross multiply
    313.44x = 471.86 × 285.18
  4. Step 4: Simplify right side
    313.44x = 134,565.03
  5. Step 5: Solve for x
    x = 134,565.03/313.44
  6. Step 6: Final answer
    x = 429.32

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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.