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Finding the Fourth Proportional to 308.08, 460.19 and 279.16

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Solution

The fourth proportional to 308.08, 460.19 and 279.16 is: 416.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.08 : 460.19 = 279.16 : x
  2. Step 2: Convert to fraction form
    308.08/460.19 = 279.16/x
  3. Step 3: Cross multiply
    308.08x = 460.19 × 279.16
  4. Step 4: Simplify right side
    308.08x = 128,466.64
  5. Step 5: Solve for x
    x = 128,466.64/308.08
  6. Step 6: Final answer
    x = 416.99

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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.