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Finding the Fourth Proportional to 314.80, 470.24 and 274.12

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Solution

The fourth proportional to 314.80, 470.24 and 274.12 is: 409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.80 : 470.24 = 274.12 : x
  2. Step 2: Convert to fraction form
    314.80/470.24 = 274.12/x
  3. Step 3: Cross multiply
    314.80x = 470.24 × 274.12
  4. Step 4: Simplify right side
    314.80x = 128,902.19
  5. Step 5: Solve for x
    x = 128,902.19/314.80
  6. Step 6: Final answer
    x = 409.47

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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.