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Finding the Fourth Proportional to 511.25, 705.53 and 278.38

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Solution

The fourth proportional to 511.25, 705.53 and 278.38 is: 384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.25 : 705.53 = 278.38 : x
  2. Step 2: Convert to fraction form
    511.25/705.53 = 278.38/x
  3. Step 3: Cross multiply
    511.25x = 705.53 × 278.38
  4. Step 4: Simplify right side
    511.25x = 196,400.52
  5. Step 5: Solve for x
    x = 196,400.52/511.25
  6. Step 6: Final answer
    x = 384.16

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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.