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Finding the Fourth Proportional to 456.69, 629.98 and 309.40

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Solution

The fourth proportional to 456.69, 629.98 and 309.40 is: 426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.69 : 629.98 = 309.40 : x
  2. Step 2: Convert to fraction form
    456.69/629.98 = 309.40/x
  3. Step 3: Cross multiply
    456.69x = 629.98 × 309.40
  4. Step 4: Simplify right side
    456.69x = 194,915.81
  5. Step 5: Solve for x
    x = 194,915.81/456.69
  6. Step 6: Final answer
    x = 426.80

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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.