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Finding the Fourth Proportional to 432.45, 596.61 and 266.58

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Solution

The fourth proportional to 432.45, 596.61 and 266.58 is: 367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.45 : 596.61 = 266.58 : x
  2. Step 2: Convert to fraction form
    432.45/596.61 = 266.58/x
  3. Step 3: Cross multiply
    432.45x = 596.61 × 266.58
  4. Step 4: Simplify right side
    432.45x = 159,044.29
  5. Step 5: Solve for x
    x = 159,044.29/432.45
  6. Step 6: Final answer
    x = 367.77

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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.