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Finding the Fourth Proportional to 455.65, 629.36 and 290.01

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Solution

The fourth proportional to 455.65, 629.36 and 290.01 is: 400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.65 : 629.36 = 290.01 : x
  2. Step 2: Convert to fraction form
    455.65/629.36 = 290.01/x
  3. Step 3: Cross multiply
    455.65x = 629.36 × 290.01
  4. Step 4: Simplify right side
    455.65x = 182,520.69
  5. Step 5: Solve for x
    x = 182,520.69/455.65
  6. Step 6: Final answer
    x = 400.57

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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.