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Finding the Fourth Proportional to 309.08, 463.01 and 193.46

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Solution

The fourth proportional to 309.08, 463.01 and 193.46 is: 289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.08 : 463.01 = 193.46 : x
  2. Step 2: Convert to fraction form
    309.08/463.01 = 193.46/x
  3. Step 3: Cross multiply
    309.08x = 463.01 × 193.46
  4. Step 4: Simplify right side
    309.08x = 89,570.63
  5. Step 5: Solve for x
    x = 89,570.63/309.08
  6. Step 6: Final answer
    x = 289.80

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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.