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Finding the Fourth Proportional to 309.57, 463.95 and 126.74

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Solution

The fourth proportional to 309.57, 463.95 and 126.74 is: 189.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.57 : 463.95 = 126.74 : x
  2. Step 2: Convert to fraction form
    309.57/463.95 = 126.74/x
  3. Step 3: Cross multiply
    309.57x = 463.95 × 126.74
  4. Step 4: Simplify right side
    309.57x = 58,801.02
  5. Step 5: Solve for x
    x = 58,801.02/309.57
  6. Step 6: Final answer
    x = 189.95

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