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Finding the Fourth Proportional to 511.41, 705.74 and 278.53

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Solution

The fourth proportional to 511.41, 705.74 and 278.53 is: 384.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.41 : 705.74 = 278.53 : x
  2. Step 2: Convert to fraction form
    511.41/705.74 = 278.53/x
  3. Step 3: Cross multiply
    511.41x = 705.74 × 278.53
  4. Step 4: Simplify right side
    511.41x = 196,571.34
  5. Step 5: Solve for x
    x = 196,571.34/511.41
  6. Step 6: Final answer
    x = 384.37

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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.