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Finding the Fourth Proportional to 511.22, 705.49 and 278.35

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Solution

The fourth proportional to 511.22, 705.49 and 278.35 is: 384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.22 : 705.49 = 278.35 : x
  2. Step 2: Convert to fraction form
    511.22/705.49 = 278.35/x
  3. Step 3: Cross multiply
    511.22x = 705.49 × 278.35
  4. Step 4: Simplify right side
    511.22x = 196,373.14
  5. Step 5: Solve for x
    x = 196,373.14/511.22
  6. Step 6: Final answer
    x = 384.13

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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.