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Finding the Fourth Proportional to 346.08, 516.03 and 307.92

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Solution

The fourth proportional to 346.08, 516.03 and 307.92 is: 459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.08 : 516.03 = 307.92 : x
  2. Step 2: Convert to fraction form
    346.08/516.03 = 307.92/x
  3. Step 3: Cross multiply
    346.08x = 516.03 × 307.92
  4. Step 4: Simplify right side
    346.08x = 158,895.96
  5. Step 5: Solve for x
    x = 158,895.96/346.08
  6. Step 6: Final answer
    x = 459.13

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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.