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Finding the Fourth Proportional to 346.21, 516.78 and 305.20

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Solution

The fourth proportional to 346.21, 516.78 and 305.20 is: 455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.21 : 516.78 = 305.20 : x
  2. Step 2: Convert to fraction form
    346.21/516.78 = 305.20/x
  3. Step 3: Cross multiply
    346.21x = 516.78 × 305.20
  4. Step 4: Simplify right side
    346.21x = 157,721.26
  5. Step 5: Solve for x
    x = 157,721.26/346.21
  6. Step 6: Final answer
    x = 455.57

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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.