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Finding the Fourth Proportional to 355.34, 489.57 and 322.58

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Solution

The fourth proportional to 355.34, 489.57 and 322.58 is: 444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.34 : 489.57 = 322.58 : x
  2. Step 2: Convert to fraction form
    355.34/489.57 = 322.58/x
  3. Step 3: Cross multiply
    355.34x = 489.57 × 322.58
  4. Step 4: Simplify right side
    355.34x = 157,923.04
  5. Step 5: Solve for x
    x = 157,923.04/355.34
  6. Step 6: Final answer
    x = 444.43

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