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Finding the Fourth Proportional to 430.36, 593.96 and 319.68

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Solution

The fourth proportional to 430.36, 593.96 and 319.68 is: 441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.36 : 593.96 = 319.68 : x
  2. Step 2: Convert to fraction form
    430.36/593.96 = 319.68/x
  3. Step 3: Cross multiply
    430.36x = 593.96 × 319.68
  4. Step 4: Simplify right side
    430.36x = 189,877.13
  5. Step 5: Solve for x
    x = 189,877.13/430.36
  6. Step 6: Final answer
    x = 441.21

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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.