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Finding the Fourth Proportional to 346.40, 516.73 and 305.90

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Solution

The fourth proportional to 346.40, 516.73 and 305.90 is: 456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.40 : 516.73 = 305.90 : x
  2. Step 2: Convert to fraction form
    346.40/516.73 = 305.90/x
  3. Step 3: Cross multiply
    346.40x = 516.73 × 305.90
  4. Step 4: Simplify right side
    346.40x = 158,067.71
  5. Step 5: Solve for x
    x = 158,067.71/346.40
  6. Step 6: Final answer
    x = 456.32

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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.