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Finding the Fourth Proportional to 482.80, 666.03 and 342.76

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Solution

The fourth proportional to 482.80, 666.03 and 342.76 is: 472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.80 : 666.03 = 342.76 : x
  2. Step 2: Convert to fraction form
    482.80/666.03 = 342.76/x
  3. Step 3: Cross multiply
    482.80x = 666.03 × 342.76
  4. Step 4: Simplify right side
    482.80x = 228,288.44
  5. Step 5: Solve for x
    x = 228,288.44/482.80
  6. Step 6: Final answer
    x = 472.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.