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Finding the Fourth Proportional to 432.40, 596.40 and 266.56

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Solution

The fourth proportional to 432.40, 596.40 and 266.56 is: 367.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.40 : 596.40 = 266.56 : x
  2. Step 2: Convert to fraction form
    432.40/596.40 = 266.56/x
  3. Step 3: Cross multiply
    432.40x = 596.40 × 266.56
  4. Step 4: Simplify right side
    432.40x = 158,976.38
  5. Step 5: Solve for x
    x = 158,976.38/432.40
  6. Step 6: Final answer
    x = 367.66

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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.