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Finding the Fourth Proportional to 341.33, 470.50 and 313.08

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Solution

The fourth proportional to 341.33, 470.50 and 313.08 is: 431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.33 : 470.50 = 313.08 : x
  2. Step 2: Convert to fraction form
    341.33/470.50 = 313.08/x
  3. Step 3: Cross multiply
    341.33x = 470.50 × 313.08
  4. Step 4: Simplify right side
    341.33x = 147,304.14
  5. Step 5: Solve for x
    x = 147,304.14/341.33
  6. Step 6: Final answer
    x = 431.56

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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.