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Finding the Fourth Proportional to 422.04, 581.95 and 309.50

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Solution

The fourth proportional to 422.04, 581.95 and 309.50 is: 426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.04 : 581.95 = 309.50 : x
  2. Step 2: Convert to fraction form
    422.04/581.95 = 309.50/x
  3. Step 3: Cross multiply
    422.04x = 581.95 × 309.50
  4. Step 4: Simplify right side
    422.04x = 180,113.53
  5. Step 5: Solve for x
    x = 180,113.53/422.04
  6. Step 6: Final answer
    x = 426.77

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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.