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Finding the Fourth Proportional to 354.77, 486.94 and 314.54

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Solution

The fourth proportional to 354.77, 486.94 and 314.54 is: 431.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.77 : 486.94 = 314.54 : x
  2. Step 2: Convert to fraction form
    354.77/486.94 = 314.54/x
  3. Step 3: Cross multiply
    354.77x = 486.94 × 314.54
  4. Step 4: Simplify right side
    354.77x = 153,158.89
  5. Step 5: Solve for x
    x = 153,158.89/354.77
  6. Step 6: Final answer
    x = 431.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.