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Finding the Fourth Proportional to 424.37, 637.77 and 208.10

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Solution

The fourth proportional to 424.37, 637.77 and 208.10 is: 312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.37 : 637.77 = 208.10 : x
  2. Step 2: Convert to fraction form
    424.37/637.77 = 208.10/x
  3. Step 3: Cross multiply
    424.37x = 637.77 × 208.10
  4. Step 4: Simplify right side
    424.37x = 132,722.31
  5. Step 5: Solve for x
    x = 132,722.31/424.37
  6. Step 6: Final answer
    x = 312.75

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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.