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Finding the Fourth Proportional to 308.16, 459.81 and 277.48

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Solution

The fourth proportional to 308.16, 459.81 and 277.48 is: 414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.16 : 459.81 = 277.48 : x
  2. Step 2: Convert to fraction form
    308.16/459.81 = 277.48/x
  3. Step 3: Cross multiply
    308.16x = 459.81 × 277.48
  4. Step 4: Simplify right side
    308.16x = 127,588.08
  5. Step 5: Solve for x
    x = 127,588.08/308.16
  6. Step 6: Final answer
    x = 414.03

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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.