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Finding the Fourth Proportional to 342.76, 472.80 and 299.20

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Solution

The fourth proportional to 342.76, 472.80 and 299.20 is: 412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.76 : 472.80 = 299.20 : x
  2. Step 2: Convert to fraction form
    342.76/472.80 = 299.20/x
  3. Step 3: Cross multiply
    342.76x = 472.80 × 299.20
  4. Step 4: Simplify right side
    342.76x = 141,461.76
  5. Step 5: Solve for x
    x = 141,461.76/342.76
  6. Step 6: Final answer
    x = 412.71

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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.