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Finding the Fourth Proportional to 351.76, 489.31 and 345.08

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Solution

The fourth proportional to 351.76, 489.31 and 345.08 is: 480.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.76 : 489.31 = 345.08 : x
  2. Step 2: Convert to fraction form
    351.76/489.31 = 345.08/x
  3. Step 3: Cross multiply
    351.76x = 489.31 × 345.08
  4. Step 4: Simplify right side
    351.76x = 168,848.15
  5. Step 5: Solve for x
    x = 168,848.15/351.76
  6. Step 6: Final answer
    x = 480.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.