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Finding the Fourth Proportional to 348.83, 477.59 and 345.49

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Solution

The fourth proportional to 348.83, 477.59 and 345.49 is: 473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.83 : 477.59 = 345.49 : x
  2. Step 2: Convert to fraction form
    348.83/477.59 = 345.49/x
  3. Step 3: Cross multiply
    348.83x = 477.59 × 345.49
  4. Step 4: Simplify right side
    348.83x = 165,002.57
  5. Step 5: Solve for x
    x = 165,002.57/348.83
  6. Step 6: Final answer
    x = 473.02

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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.