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Finding the Fourth Proportional to 347.40, 482.72 and 343.04

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Solution

The fourth proportional to 347.40, 482.72 and 343.04 is: 476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.40 : 482.72 = 343.04 : x
  2. Step 2: Convert to fraction form
    347.40/482.72 = 343.04/x
  3. Step 3: Cross multiply
    347.40x = 482.72 × 343.04
  4. Step 4: Simplify right side
    347.40x = 165,588.14
  5. Step 5: Solve for x
    x = 165,588.14/347.40
  6. Step 6: Final answer
    x = 476.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.