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Finding the Fourth Proportional to 430.63, 594.27 and 234.14

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Solution

The fourth proportional to 430.63, 594.27 and 234.14 is: 323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.63 : 594.27 = 234.14 : x
  2. Step 2: Convert to fraction form
    430.63/594.27 = 234.14/x
  3. Step 3: Cross multiply
    430.63x = 594.27 × 234.14
  4. Step 4: Simplify right side
    430.63x = 139,142.38
  5. Step 5: Solve for x
    x = 139,142.38/430.63
  6. Step 6: Final answer
    x = 323.12

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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.