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Finding the Fourth Proportional to 315.29, 470.21 and 274.39

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Solution

The fourth proportional to 315.29, 470.21 and 274.39 is: 409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.29 : 470.21 = 274.39 : x
  2. Step 2: Convert to fraction form
    315.29/470.21 = 274.39/x
  3. Step 3: Cross multiply
    315.29x = 470.21 × 274.39
  4. Step 4: Simplify right side
    315.29x = 129,018.37
  5. Step 5: Solve for x
    x = 129,018.37/315.29
  6. Step 6: Final answer
    x = 409.20

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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.