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Finding the Fourth Proportional to 430.89, 595.72 and 326.52

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Solution

The fourth proportional to 430.89, 595.72 and 326.52 is: 451.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.89 : 595.72 = 326.52 : x
  2. Step 2: Convert to fraction form
    430.89/595.72 = 326.52/x
  3. Step 3: Cross multiply
    430.89x = 595.72 × 326.52
  4. Step 4: Simplify right side
    430.89x = 194,514.49
  5. Step 5: Solve for x
    x = 194,514.49/430.89
  6. Step 6: Final answer
    x = 451.42

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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.