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Finding the Fourth Proportional to 387.65, 535.66 and 276.94

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Solution

The fourth proportional to 387.65, 535.66 and 276.94 is: 382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.65 : 535.66 = 276.94 : x
  2. Step 2: Convert to fraction form
    387.65/535.66 = 276.94/x
  3. Step 3: Cross multiply
    387.65x = 535.66 × 276.94
  4. Step 4: Simplify right side
    387.65x = 148,344.20
  5. Step 5: Solve for x
    x = 148,344.20/387.65
  6. Step 6: Final answer
    x = 382.67

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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.