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Finding the Fourth Proportional to 348.64, 484.12 and 345.76

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Solution

The fourth proportional to 348.64, 484.12 and 345.76 is: 480.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.64 : 484.12 = 345.76 : x
  2. Step 2: Convert to fraction form
    348.64/484.12 = 345.76/x
  3. Step 3: Cross multiply
    348.64x = 484.12 × 345.76
  4. Step 4: Simplify right side
    348.64x = 167,389.33
  5. Step 5: Solve for x
    x = 167,389.33/348.64
  6. Step 6: Final answer
    x = 480.12

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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.