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Finding the Fourth Proportional to 432.35, 596.39 and 266.50

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Solution

The fourth proportional to 432.35, 596.39 and 266.50 is: 367.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.35 : 596.39 = 266.50 : x
  2. Step 2: Convert to fraction form
    432.35/596.39 = 266.50/x
  3. Step 3: Cross multiply
    432.35x = 596.39 × 266.50
  4. Step 4: Simplify right side
    432.35x = 158,937.94
  5. Step 5: Solve for x
    x = 158,937.94/432.35
  6. Step 6: Final answer
    x = 367.61

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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.