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Finding the Fourth Proportional to 341.79, 470.70 and 279.42

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Solution

The fourth proportional to 341.79, 470.70 and 279.42 is: 384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.79 : 470.70 = 279.42 : x
  2. Step 2: Convert to fraction form
    341.79/470.70 = 279.42/x
  3. Step 3: Cross multiply
    341.79x = 470.70 × 279.42
  4. Step 4: Simplify right side
    341.79x = 131,522.99
  5. Step 5: Solve for x
    x = 131,522.99/341.79
  6. Step 6: Final answer
    x = 384.81

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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.