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Finding the Fourth Proportional to 354.98, 489.80 and 207.60

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Solution

The fourth proportional to 354.98, 489.80 and 207.60 is: 286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.98 : 489.80 = 207.60 : x
  2. Step 2: Convert to fraction form
    354.98/489.80 = 207.60/x
  3. Step 3: Cross multiply
    354.98x = 489.80 × 207.60
  4. Step 4: Simplify right side
    354.98x = 101,682.48
  5. Step 5: Solve for x
    x = 101,682.48/354.98
  6. Step 6: Final answer
    x = 286.45

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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.