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Finding the Fourth Proportional to 432.79, 596.39 and 308.23

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Solution

The fourth proportional to 432.79, 596.39 and 308.23 is: 424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.79 : 596.39 = 308.23 : x
  2. Step 2: Convert to fraction form
    432.79/596.39 = 308.23/x
  3. Step 3: Cross multiply
    432.79x = 596.39 × 308.23
  4. Step 4: Simplify right side
    432.79x = 183,820.77
  5. Step 5: Solve for x
    x = 183,820.77/432.79
  6. Step 6: Final answer
    x = 424.74

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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.