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Finding the Fourth Proportional to 431.49, 646.70 and 309.99

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Solution

The fourth proportional to 431.49, 646.70 and 309.99 is: 464.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.49 : 646.70 = 309.99 : x
  2. Step 2: Convert to fraction form
    431.49/646.70 = 309.99/x
  3. Step 3: Cross multiply
    431.49x = 646.70 × 309.99
  4. Step 4: Simplify right side
    431.49x = 200,470.53
  5. Step 5: Solve for x
    x = 200,470.53/431.49
  6. Step 6: Final answer
    x = 464.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.