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Finding the Fourth Proportional to 308.77, 460.85 and 284.36

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Solution

The fourth proportional to 308.77, 460.85 and 284.36 is: 424.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.77 : 460.85 = 284.36 : x
  2. Step 2: Convert to fraction form
    308.77/460.85 = 284.36/x
  3. Step 3: Cross multiply
    308.77x = 460.85 × 284.36
  4. Step 4: Simplify right side
    308.77x = 131,043.58
  5. Step 5: Solve for x
    x = 131,043.58/308.77
  6. Step 6: Final answer
    x = 424.41

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