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Finding the Fourth Proportional to 490.55, 677.01 and 291.50

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Solution

The fourth proportional to 490.55, 677.01 and 291.50 is: 402.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.55 : 677.01 = 291.50 : x
  2. Step 2: Convert to fraction form
    490.55/677.01 = 291.50/x
  3. Step 3: Cross multiply
    490.55x = 677.01 × 291.50
  4. Step 4: Simplify right side
    490.55x = 197,348.42
  5. Step 5: Solve for x
    x = 197,348.42/490.55
  6. Step 6: Final answer
    x = 402.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.