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Finding the Fourth Proportional to 446.40, 617.76 and 385.20

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Solution

The fourth proportional to 446.40, 617.76 and 385.20 is: 533.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.40 : 617.76 = 385.20 : x
  2. Step 2: Convert to fraction form
    446.40/617.76 = 385.20/x
  3. Step 3: Cross multiply
    446.40x = 617.76 × 385.20
  4. Step 4: Simplify right side
    446.40x = 237,961.15
  5. Step 5: Solve for x
    x = 237,961.15/446.40
  6. Step 6: Final answer
    x = 533.07

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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.