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Finding the Fourth Proportional to 311.98, 465.74 and 289.48

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Solution

The fourth proportional to 311.98, 465.74 and 289.48 is: 432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.98 : 465.74 = 289.48 : x
  2. Step 2: Convert to fraction form
    311.98/465.74 = 289.48/x
  3. Step 3: Cross multiply
    311.98x = 465.74 × 289.48
  4. Step 4: Simplify right side
    311.98x = 134,822.42
  5. Step 5: Solve for x
    x = 134,822.42/311.98
  6. Step 6: Final answer
    x = 432.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.