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Finding the Fourth Proportional to 446.94, 617.06 and 307.01

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Solution

The fourth proportional to 446.94, 617.06 and 307.01 is: 423.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.94 : 617.06 = 307.01 : x
  2. Step 2: Convert to fraction form
    446.94/617.06 = 307.01/x
  3. Step 3: Cross multiply
    446.94x = 617.06 × 307.01
  4. Step 4: Simplify right side
    446.94x = 189,438.97
  5. Step 5: Solve for x
    x = 189,438.97/446.94
  6. Step 6: Final answer
    x = 423.86

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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.