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Finding the Fourth Proportional to 356, 489.72 and 335.84

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Solution

The fourth proportional to 356, 489.72 and 335.84 is: 461.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    356 : 489.72 = 335.84 : x
  2. Step 2: Convert to fraction form
    356/489.72 = 335.84/x
  3. Step 3: Cross multiply
    356x = 489.72 × 335.84
  4. Step 4: Simplify right side
    356x = 164,467.56
  5. Step 5: Solve for x
    x = 164,467.56/356
  6. Step 6: Final answer
    x = 461.99

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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.