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Finding the Fourth Proportional to 456.23, 629.80 and 290.66

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Solution

The fourth proportional to 456.23, 629.80 and 290.66 is: 401.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.23 : 629.80 = 290.66 : x
  2. Step 2: Convert to fraction form
    456.23/629.80 = 290.66/x
  3. Step 3: Cross multiply
    456.23x = 629.80 × 290.66
  4. Step 4: Simplify right side
    456.23x = 183,057.67
  5. Step 5: Solve for x
    x = 183,057.67/456.23
  6. Step 6: Final answer
    x = 401.24

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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.