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Finding the Fourth Proportional to 314.30, 433.68 and 189.98

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Solution

The fourth proportional to 314.30, 433.68 and 189.98 is: 262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.30 : 433.68 = 189.98 : x
  2. Step 2: Convert to fraction form
    314.30/433.68 = 189.98/x
  3. Step 3: Cross multiply
    314.30x = 433.68 × 189.98
  4. Step 4: Simplify right side
    314.30x = 82,390.53
  5. Step 5: Solve for x
    x = 82,390.53/314.30
  6. Step 6: Final answer
    x = 262.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.