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Finding the Fourth Proportional to 355.68, 489.78 and 297.36

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Solution

The fourth proportional to 355.68, 489.78 and 297.36 is: 409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.68 : 489.78 = 297.36 : x
  2. Step 2: Convert to fraction form
    355.68/489.78 = 297.36/x
  3. Step 3: Cross multiply
    355.68x = 489.78 × 297.36
  4. Step 4: Simplify right side
    355.68x = 145,640.98
  5. Step 5: Solve for x
    x = 145,640.98/355.68
  6. Step 6: Final answer
    x = 409.47

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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.