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Finding the Fourth Proportional to 450.77, 676.16 and 207.50

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Solution

The fourth proportional to 450.77, 676.16 and 207.50 is: 311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.77 : 676.16 = 207.50 : x
  2. Step 2: Convert to fraction form
    450.77/676.16 = 207.50/x
  3. Step 3: Cross multiply
    450.77x = 676.16 × 207.50
  4. Step 4: Simplify right side
    450.77x = 140,298.78
  5. Step 5: Solve for x
    x = 140,298.78/450.77
  6. Step 6: Final answer
    x = 311.25

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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.