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Finding the Fourth Proportional to 355.34, 489.29 and 296.21

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Solution

The fourth proportional to 355.34, 489.29 and 296.21 is: 407.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.34 : 489.29 = 296.21 : x
  2. Step 2: Convert to fraction form
    355.34/489.29 = 296.21/x
  3. Step 3: Cross multiply
    355.34x = 489.29 × 296.21
  4. Step 4: Simplify right side
    355.34x = 144,928.66
  5. Step 5: Solve for x
    x = 144,928.66/355.34
  6. Step 6: Final answer
    x = 407.86

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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.