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Finding the Fourth Proportional to 402.80, 600.88 and 347.60

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Solution

The fourth proportional to 402.80, 600.88 and 347.60 is: 518.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.80 : 600.88 = 347.60 : x
  2. Step 2: Convert to fraction form
    402.80/600.88 = 347.60/x
  3. Step 3: Cross multiply
    402.80x = 600.88 × 347.60
  4. Step 4: Simplify right side
    402.80x = 208,865.89
  5. Step 5: Solve for x
    x = 208,865.89/402.80
  6. Step 6: Final answer
    x = 518.53

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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.