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Finding the Fourth Proportional to 308.34, 464.83 and 265.35

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Solution

The fourth proportional to 308.34, 464.83 and 265.35 is: 400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.34 : 464.83 = 265.35 : x
  2. Step 2: Convert to fraction form
    308.34/464.83 = 265.35/x
  3. Step 3: Cross multiply
    308.34x = 464.83 × 265.35
  4. Step 4: Simplify right side
    308.34x = 123,342.64
  5. Step 5: Solve for x
    x = 123,342.64/308.34
  6. Step 6: Final answer
    x = 400.02

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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.