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Finding the Fourth Proportional to 430.27, 593.66 and 243.72

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Solution

The fourth proportional to 430.27, 593.66 and 243.72 is: 336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.27 : 593.66 = 243.72 : x
  2. Step 2: Convert to fraction form
    430.27/593.66 = 243.72/x
  3. Step 3: Cross multiply
    430.27x = 593.66 × 243.72
  4. Step 4: Simplify right side
    430.27x = 144,687.42
  5. Step 5: Solve for x
    x = 144,687.42/430.27
  6. Step 6: Final answer
    x = 336.27

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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.