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Finding the Fourth Proportional to 354.42, 488.75 and 314.96

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Solution

The fourth proportional to 354.42, 488.75 and 314.96 is: 434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.42 : 488.75 = 314.96 : x
  2. Step 2: Convert to fraction form
    354.42/488.75 = 314.96/x
  3. Step 3: Cross multiply
    354.42x = 488.75 × 314.96
  4. Step 4: Simplify right side
    354.42x = 153,932.68
  5. Step 5: Solve for x
    x = 153,932.68/354.42
  6. Step 6: Final answer
    x = 434.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.