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Finding the Fourth Proportional to 313.81, 432.90 and 189.45

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Solution

The fourth proportional to 313.81, 432.90 and 189.45 is: 261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.81 : 432.90 = 189.45 : x
  2. Step 2: Convert to fraction form
    313.81/432.90 = 189.45/x
  3. Step 3: Cross multiply
    313.81x = 432.90 × 189.45
  4. Step 4: Simplify right side
    313.81x = 82,012.91
  5. Step 5: Solve for x
    x = 82,012.91/313.81
  6. Step 6: Final answer
    x = 261.35

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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.