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Finding the Fourth Proportional to 341.69, 470.97 and 313.43

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Solution

The fourth proportional to 341.69, 470.97 and 313.43 is: 432.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.69 : 470.97 = 313.43 : x
  2. Step 2: Convert to fraction form
    341.69/470.97 = 313.43/x
  3. Step 3: Cross multiply
    341.69x = 470.97 × 313.43
  4. Step 4: Simplify right side
    341.69x = 147,613.77
  5. Step 5: Solve for x
    x = 147,613.77/341.69
  6. Step 6: Final answer
    x = 432.02

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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.