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Finding the Fourth Proportional to 348.33, 519.95 and 307.80

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Solution

The fourth proportional to 348.33, 519.95 and 307.80 is: 459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.33 : 519.95 = 307.80 : x
  2. Step 2: Convert to fraction form
    348.33/519.95 = 307.80/x
  3. Step 3: Cross multiply
    348.33x = 519.95 × 307.80
  4. Step 4: Simplify right side
    348.33x = 160,041.38
  5. Step 5: Solve for x
    x = 160,041.38/348.33
  6. Step 6: Final answer
    x = 459.45

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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.