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Finding the Fourth Proportional to 432.27, 645.47 and 339.93

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Solution

The fourth proportional to 432.27, 645.47 and 339.93 is: 507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.27 : 645.47 = 339.93 : x
  2. Step 2: Convert to fraction form
    432.27/645.47 = 339.93/x
  3. Step 3: Cross multiply
    432.27x = 645.47 × 339.93
  4. Step 4: Simplify right side
    432.27x = 219,414.62
  5. Step 5: Solve for x
    x = 219,414.62/432.27
  6. Step 6: Final answer
    x = 507.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.