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Finding the Fourth Proportional to 467.98, 702.21 and 340.78

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Solution

The fourth proportional to 467.98, 702.21 and 340.78 is: 511.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.98 : 702.21 = 340.78 : x
  2. Step 2: Convert to fraction form
    467.98/702.21 = 340.78/x
  3. Step 3: Cross multiply
    467.98x = 702.21 × 340.78
  4. Step 4: Simplify right side
    467.98x = 239,299.12
  5. Step 5: Solve for x
    x = 239,299.12/467.98
  6. Step 6: Final answer
    x = 511.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.