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Finding the Fourth Proportional to 346.09, 516.60 and 305.08

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Solution

The fourth proportional to 346.09, 516.60 and 305.08 is: 455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.09 : 516.60 = 305.08 : x
  2. Step 2: Convert to fraction form
    346.09/516.60 = 305.08/x
  3. Step 3: Cross multiply
    346.09x = 516.60 × 305.08
  4. Step 4: Simplify right side
    346.09x = 157,602.16
  5. Step 5: Solve for x
    x = 157,602.16/346.09
  6. Step 6: Final answer
    x = 455.39

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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.