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Finding the Fourth Proportional to 308.56, 465.20 and 287.68

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Solution

The fourth proportional to 308.56, 465.20 and 287.68 is: 433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.56 : 465.20 = 287.68 : x
  2. Step 2: Convert to fraction form
    308.56/465.20 = 287.68/x
  3. Step 3: Cross multiply
    308.56x = 465.20 × 287.68
  4. Step 4: Simplify right side
    308.56x = 133,828.74
  5. Step 5: Solve for x
    x = 133,828.74/308.56
  6. Step 6: Final answer
    x = 433.72

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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.