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Finding the Fourth Proportional to 308.02, 460.09 and 259.42

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Solution

The fourth proportional to 308.02, 460.09 and 259.42 is: 387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.02 : 460.09 = 259.42 : x
  2. Step 2: Convert to fraction form
    308.02/460.09 = 259.42/x
  3. Step 3: Cross multiply
    308.02x = 460.09 × 259.42
  4. Step 4: Simplify right side
    308.02x = 119,356.55
  5. Step 5: Solve for x
    x = 119,356.55/308.02
  6. Step 6: Final answer
    x = 387.50

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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.