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Finding the Fourth Proportional to 309.40, 464.64 and 274.78

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Solution

The fourth proportional to 309.40, 464.64 and 274.78 is: 412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.40 : 464.64 = 274.78 : x
  2. Step 2: Convert to fraction form
    309.40/464.64 = 274.78/x
  3. Step 3: Cross multiply
    309.40x = 464.64 × 274.78
  4. Step 4: Simplify right side
    309.40x = 127,670.72
  5. Step 5: Solve for x
    x = 127,670.72/309.40
  6. Step 6: Final answer
    x = 412.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.