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Finding the Fourth Proportional to 430.22, 593.79 and 255.53

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Solution

The fourth proportional to 430.22, 593.79 and 255.53 is: 352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.22 : 593.79 = 255.53 : x
  2. Step 2: Convert to fraction form
    430.22/593.79 = 255.53/x
  3. Step 3: Cross multiply
    430.22x = 593.79 × 255.53
  4. Step 4: Simplify right side
    430.22x = 151,731.16
  5. Step 5: Solve for x
    x = 151,731.16/430.22
  6. Step 6: Final answer
    x = 352.68

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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.