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Finding the Fourth Proportional to 490.95, 677.23 and 358.00

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Solution

The fourth proportional to 490.95, 677.23 and 358.00 is: 493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.95 : 677.23 = 358.00 : x
  2. Step 2: Convert to fraction form
    490.95/677.23 = 358.00/x
  3. Step 3: Cross multiply
    490.95x = 677.23 × 358.00
  4. Step 4: Simplify right side
    490.95x = 242,446.76
  5. Step 5: Solve for x
    x = 242,446.76/490.95
  6. Step 6: Final answer
    x = 493.83

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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.