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Finding the Fourth Proportional to 309.12, 463.70 and 126.51

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Solution

The fourth proportional to 309.12, 463.70 and 126.51 is: 189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.12 : 463.70 = 126.51 : x
  2. Step 2: Convert to fraction form
    309.12/463.70 = 126.51/x
  3. Step 3: Cross multiply
    309.12x = 463.70 × 126.51
  4. Step 4: Simplify right side
    309.12x = 58,662.69
  5. Step 5: Solve for x
    x = 58,662.69/309.12
  6. Step 6: Final answer
    x = 189.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.