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Finding the Fourth Proportional to 511.32, 705.34 and 301.46

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Solution

The fourth proportional to 511.32, 705.34 and 301.46 is: 415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.32 : 705.34 = 301.46 : x
  2. Step 2: Convert to fraction form
    511.32/705.34 = 301.46/x
  3. Step 3: Cross multiply
    511.32x = 705.34 × 301.46
  4. Step 4: Simplify right side
    511.32x = 212,631.80
  5. Step 5: Solve for x
    x = 212,631.80/511.32
  6. Step 6: Final answer
    x = 415.85

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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.