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Finding the Fourth Proportional to 348.40, 477.98 and 345.57

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Solution

The fourth proportional to 348.40, 477.98 and 345.57 is: 474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.40 : 477.98 = 345.57 : x
  2. Step 2: Convert to fraction form
    348.40/477.98 = 345.57/x
  3. Step 3: Cross multiply
    348.40x = 477.98 × 345.57
  4. Step 4: Simplify right side
    348.40x = 165,172.35
  5. Step 5: Solve for x
    x = 165,172.35/348.40
  6. Step 6: Final answer
    x = 474.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.