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Finding the Fourth Proportional to 348.10, 519.80 and 302.56

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Solution

The fourth proportional to 348.10, 519.80 and 302.56 is: 451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.10 : 519.80 = 302.56 : x
  2. Step 2: Convert to fraction form
    348.10/519.80 = 302.56/x
  3. Step 3: Cross multiply
    348.10x = 519.80 × 302.56
  4. Step 4: Simplify right side
    348.10x = 157,270.69
  5. Step 5: Solve for x
    x = 157,270.69/348.10
  6. Step 6: Final answer
    x = 451.80

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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.