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Finding the Fourth Proportional to 386.85, 579.70 and 283.65

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Solution

The fourth proportional to 386.85, 579.70 and 283.65 is: 425.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.85 : 579.70 = 283.65 : x
  2. Step 2: Convert to fraction form
    386.85/579.70 = 283.65/x
  3. Step 3: Cross multiply
    386.85x = 579.70 × 283.65
  4. Step 4: Simplify right side
    386.85x = 164,432.61
  5. Step 5: Solve for x
    x = 164,432.61/386.85
  6. Step 6: Final answer
    x = 425.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.