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Finding the Fourth Proportional to 348.03, 519.55 and 286.47

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Solution

The fourth proportional to 348.03, 519.55 and 286.47 is: 427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.03 : 519.55 = 286.47 : x
  2. Step 2: Convert to fraction form
    348.03/519.55 = 286.47/x
  3. Step 3: Cross multiply
    348.03x = 519.55 × 286.47
  4. Step 4: Simplify right side
    348.03x = 148,834.77
  5. Step 5: Solve for x
    x = 148,834.77/348.03
  6. Step 6: Final answer
    x = 427.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.