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Finding the Fourth Proportional to 308.63, 459.63 and 290

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Solution

The fourth proportional to 308.63, 459.63 and 290 is: 431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.63 : 459.63 = 290 : x
  2. Step 2: Convert to fraction form
    308.63/459.63 = 290/x
  3. Step 3: Cross multiply
    308.63x = 459.63 × 290
  4. Step 4: Simplify right side
    308.63x = 133,291.25
  5. Step 5: Solve for x
    x = 133,291.25/308.63
  6. Step 6: Final answer
    x = 431.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.