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Finding the Fourth Proportional to 455.90, 629.36 and 306.77

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Solution

The fourth proportional to 455.90, 629.36 and 306.77 is: 423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.90 : 629.36 = 306.77 : x
  2. Step 2: Convert to fraction form
    455.90/629.36 = 306.77/x
  3. Step 3: Cross multiply
    455.90x = 629.36 × 306.77
  4. Step 4: Simplify right side
    455.90x = 193,068.77
  5. Step 5: Solve for x
    x = 193,068.77/455.90
  6. Step 6: Final answer
    x = 423.49

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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.