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Finding the Fourth Proportional to 354.93, 489.87 and 265.65

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Solution

The fourth proportional to 354.93, 489.87 and 265.65 is: 366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.93 : 489.87 = 265.65 : x
  2. Step 2: Convert to fraction form
    354.93/489.87 = 265.65/x
  3. Step 3: Cross multiply
    354.93x = 489.87 × 265.65
  4. Step 4: Simplify right side
    354.93x = 130,133.97
  5. Step 5: Solve for x
    x = 130,133.97/354.93
  6. Step 6: Final answer
    x = 366.65

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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.