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Finding the Fourth Proportional to 308.60, 465.21 and 288.23

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Solution

The fourth proportional to 308.60, 465.21 and 288.23 is: 434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.60 : 465.21 = 288.23 : x
  2. Step 2: Convert to fraction form
    308.60/465.21 = 288.23/x
  3. Step 3: Cross multiply
    308.60x = 465.21 × 288.23
  4. Step 4: Simplify right side
    308.60x = 134,087.48
  5. Step 5: Solve for x
    x = 134,087.48/308.60
  6. Step 6: Final answer
    x = 434.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.