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Finding the Fourth Proportional to 355.02, 489.80 and 207.64

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Solution

The fourth proportional to 355.02, 489.80 and 207.64 is: 286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.02 : 489.80 = 207.64 : x
  2. Step 2: Convert to fraction form
    355.02/489.80 = 207.64/x
  3. Step 3: Cross multiply
    355.02x = 489.80 × 207.64
  4. Step 4: Simplify right side
    355.02x = 101,702.07
  5. Step 5: Solve for x
    x = 101,702.07/355.02
  6. Step 6: Final answer
    x = 286.47

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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.