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Finding the Fourth Proportional to 309.04, 460.84 and 276.64

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Solution

The fourth proportional to 309.04, 460.84 and 276.64 is: 412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.04 : 460.84 = 276.64 : x
  2. Step 2: Convert to fraction form
    309.04/460.84 = 276.64/x
  3. Step 3: Cross multiply
    309.04x = 460.84 × 276.64
  4. Step 4: Simplify right side
    309.04x = 127,486.78
  5. Step 5: Solve for x
    x = 127,486.78/309.04
  6. Step 6: Final answer
    x = 412.53

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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.