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Finding the Fourth Proportional to 430.50, 594.09 and 275.34

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Solution

The fourth proportional to 430.50, 594.09 and 275.34 is: 379.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.50 : 594.09 = 275.34 : x
  2. Step 2: Convert to fraction form
    430.50/594.09 = 275.34/x
  3. Step 3: Cross multiply
    430.50x = 594.09 × 275.34
  4. Step 4: Simplify right side
    430.50x = 163,576.74
  5. Step 5: Solve for x
    x = 163,576.74/430.50
  6. Step 6: Final answer
    x = 379.97

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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.