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Finding the Fourth Proportional to 430.63, 594.28 and 234.15

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Solution

The fourth proportional to 430.63, 594.28 and 234.15 is: 323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.63 : 594.28 = 234.15 : x
  2. Step 2: Convert to fraction form
    430.63/594.28 = 234.15/x
  3. Step 3: Cross multiply
    430.63x = 594.28 × 234.15
  4. Step 4: Simplify right side
    430.63x = 139,150.66
  5. Step 5: Solve for x
    x = 139,150.66/430.63
  6. Step 6: Final answer
    x = 323.13

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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.