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Finding the Fourth Proportional to 313.53, 432.77 and 189.20

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Solution

The fourth proportional to 313.53, 432.77 and 189.20 is: 261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.53 : 432.77 = 189.20 : x
  2. Step 2: Convert to fraction form
    313.53/432.77 = 189.20/x
  3. Step 3: Cross multiply
    313.53x = 432.77 × 189.20
  4. Step 4: Simplify right side
    313.53x = 81,876.97
  5. Step 5: Solve for x
    x = 81,876.97/313.53
  6. Step 6: Final answer
    x = 261.15

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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.