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Finding the Fourth Proportional to 313.44, 432.36 and 189.02

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Solution

The fourth proportional to 313.44, 432.36 and 189.02 is: 260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.44 : 432.36 = 189.02 : x
  2. Step 2: Convert to fraction form
    313.44/432.36 = 189.02/x
  3. Step 3: Cross multiply
    313.44x = 432.36 × 189.02
  4. Step 4: Simplify right side
    313.44x = 81,722.53
  5. Step 5: Solve for x
    x = 81,722.53/313.44
  6. Step 6: Final answer
    x = 260.73

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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.