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Finding the Fourth Proportional to 342.28, 511.13 and 299.08

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Solution

The fourth proportional to 342.28, 511.13 and 299.08 is: 446.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.28 : 511.13 = 299.08 : x
  2. Step 2: Convert to fraction form
    342.28/511.13 = 299.08/x
  3. Step 3: Cross multiply
    342.28x = 511.13 × 299.08
  4. Step 4: Simplify right side
    342.28x = 152,868.76
  5. Step 5: Solve for x
    x = 152,868.76/342.28
  6. Step 6: Final answer
    x = 446.62

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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.