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Finding the Fourth Proportional to 432.89, 651.87 and 311.99

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Solution

The fourth proportional to 432.89, 651.87 and 311.99 is: 469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.89 : 651.87 = 311.99 : x
  2. Step 2: Convert to fraction form
    432.89/651.87 = 311.99/x
  3. Step 3: Cross multiply
    432.89x = 651.87 × 311.99
  4. Step 4: Simplify right side
    432.89x = 203,376.92
  5. Step 5: Solve for x
    x = 203,376.92/432.89
  6. Step 6: Final answer
    x = 469.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.