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Finding the Fourth Proportional to 348.16, 519.52 and 311.80

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Solution

The fourth proportional to 348.16, 519.52 and 311.80 is: 465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.16 : 519.52 = 311.80 : x
  2. Step 2: Convert to fraction form
    348.16/519.52 = 311.80/x
  3. Step 3: Cross multiply
    348.16x = 519.52 × 311.80
  4. Step 4: Simplify right side
    348.16x = 161,986.34
  5. Step 5: Solve for x
    x = 161,986.34/348.16
  6. Step 6: Final answer
    x = 465.26

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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.