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Finding the Fourth Proportional to 313.00, 432.34 and 272.30

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Solution

The fourth proportional to 313.00, 432.34 and 272.30 is: 376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.00 : 432.34 = 272.30 : x
  2. Step 2: Convert to fraction form
    313.00/432.34 = 272.30/x
  3. Step 3: Cross multiply
    313.00x = 432.34 × 272.30
  4. Step 4: Simplify right side
    313.00x = 117,723.34
  5. Step 5: Solve for x
    x = 117,723.34/313.00
  6. Step 6: Final answer
    x = 376.12

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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.