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Finding the Fourth Proportional to 355.06, 489.54 and 298.90

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Solution

The fourth proportional to 355.06, 489.54 and 298.90 is: 412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.06 : 489.54 = 298.90 : x
  2. Step 2: Convert to fraction form
    355.06/489.54 = 298.90/x
  3. Step 3: Cross multiply
    355.06x = 489.54 × 298.90
  4. Step 4: Simplify right side
    355.06x = 146,323.51
  5. Step 5: Solve for x
    x = 146,323.51/355.06
  6. Step 6: Final answer
    x = 412.11

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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.