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Finding the Fourth Proportional to 354.33, 489.83 and 339.93

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Solution

The fourth proportional to 354.33, 489.83 and 339.93 is: 469.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.33 : 489.83 = 339.93 : x
  2. Step 2: Convert to fraction form
    354.33/489.83 = 339.93/x
  3. Step 3: Cross multiply
    354.33x = 489.83 × 339.93
  4. Step 4: Simplify right side
    354.33x = 166,506.21
  5. Step 5: Solve for x
    x = 166,506.21/354.33
  6. Step 6: Final answer
    x = 469.92

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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.