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Finding the Fourth Proportional to 430.09, 593.33 and 272.68

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Solution

The fourth proportional to 430.09, 593.33 and 272.68 is: 376.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.09 : 593.33 = 272.68 : x
  2. Step 2: Convert to fraction form
    430.09/593.33 = 272.68/x
  3. Step 3: Cross multiply
    430.09x = 593.33 × 272.68
  4. Step 4: Simplify right side
    430.09x = 161,789.22
  5. Step 5: Solve for x
    x = 161,789.22/430.09
  6. Step 6: Final answer
    x = 376.18

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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.