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Finding the Fourth Proportional to 430.98, 594.72 and 234.49

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Solution

The fourth proportional to 430.98, 594.72 and 234.49 is: 323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.98 : 594.72 = 234.49 : x
  2. Step 2: Convert to fraction form
    430.98/594.72 = 234.49/x
  3. Step 3: Cross multiply
    430.98x = 594.72 × 234.49
  4. Step 4: Simplify right side
    430.98x = 139,451.75
  5. Step 5: Solve for x
    x = 139,451.75/430.98
  6. Step 6: Final answer
    x = 323.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.