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Finding the Fourth Proportional to 450.75, 675.98 and 207.15

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Solution

The fourth proportional to 450.75, 675.98 and 207.15 is: 310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.75 : 675.98 = 207.15 : x
  2. Step 2: Convert to fraction form
    450.75/675.98 = 207.15/x
  3. Step 3: Cross multiply
    450.75x = 675.98 × 207.15
  4. Step 4: Simplify right side
    450.75x = 140,026.46
  5. Step 5: Solve for x
    x = 140,026.46/450.75
  6. Step 6: Final answer
    x = 310.65

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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.