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Finding the Fourth Proportional to 407.90, 612.09 and 234.78

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Solution

The fourth proportional to 407.90, 612.09 and 234.78 is: 352.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.90 : 612.09 = 234.78 : x
  2. Step 2: Convert to fraction form
    407.90/612.09 = 234.78/x
  3. Step 3: Cross multiply
    407.90x = 612.09 × 234.78
  4. Step 4: Simplify right side
    407.90x = 143,706.49
  5. Step 5: Solve for x
    x = 143,706.49/407.90
  6. Step 6: Final answer
    x = 352.31

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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.