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Finding the Fourth Proportional to 341.82, 470.61 and 300.51

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Solution

The fourth proportional to 341.82, 470.61 and 300.51 is: 413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.82 : 470.61 = 300.51 : x
  2. Step 2: Convert to fraction form
    341.82/470.61 = 300.51/x
  3. Step 3: Cross multiply
    341.82x = 470.61 × 300.51
  4. Step 4: Simplify right side
    341.82x = 141,423.01
  5. Step 5: Solve for x
    x = 141,423.01/341.82
  6. Step 6: Final answer
    x = 413.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.