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Finding the Fourth Proportional to 455.96, 629.12 and 316.20

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Solution

The fourth proportional to 455.96, 629.12 and 316.20 is: 436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.96 : 629.12 = 316.20 : x
  2. Step 2: Convert to fraction form
    455.96/629.12 = 316.20/x
  3. Step 3: Cross multiply
    455.96x = 629.12 × 316.20
  4. Step 4: Simplify right side
    455.96x = 198,927.74
  5. Step 5: Solve for x
    x = 198,927.74/455.96
  6. Step 6: Final answer
    x = 436.28

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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.