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Finding the Fourth Proportional to 402.75, 555.93 and 286.65

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Solution

The fourth proportional to 402.75, 555.93 and 286.65 is: 395.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.75 : 555.93 = 286.65 : x
  2. Step 2: Convert to fraction form
    402.75/555.93 = 286.65/x
  3. Step 3: Cross multiply
    402.75x = 555.93 × 286.65
  4. Step 4: Simplify right side
    402.75x = 159,357.33
  5. Step 5: Solve for x
    x = 159,357.33/402.75
  6. Step 6: Final answer
    x = 395.67

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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.