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Finding the Fourth Proportional to 348.26, 519.75 and 340.07

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Solution

The fourth proportional to 348.26, 519.75 and 340.07 is: 507.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.26 : 519.75 = 340.07 : x
  2. Step 2: Convert to fraction form
    348.26/519.75 = 340.07/x
  3. Step 3: Cross multiply
    348.26x = 519.75 × 340.07
  4. Step 4: Simplify right side
    348.26x = 176,748.78
  5. Step 5: Solve for x
    x = 176,748.78/348.26
  6. Step 6: Final answer
    x = 507.53

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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.