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Finding the Fourth Proportional to 432.60, 596.70 and 266.65

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Solution

The fourth proportional to 432.60, 596.70 and 266.65 is: 367.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.60 : 596.70 = 266.65 : x
  2. Step 2: Convert to fraction form
    432.60/596.70 = 266.65/x
  3. Step 3: Cross multiply
    432.60x = 596.70 × 266.65
  4. Step 4: Simplify right side
    432.60x = 159,105.74
  5. Step 5: Solve for x
    x = 159,105.74/432.60
  6. Step 6: Final answer
    x = 367.79

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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.