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Finding the Fourth Proportional to 311.52, 465.12 and 295.68

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Solution

The fourth proportional to 311.52, 465.12 and 295.68 is: 441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.52 : 465.12 = 295.68 : x
  2. Step 2: Convert to fraction form
    311.52/465.12 = 295.68/x
  3. Step 3: Cross multiply
    311.52x = 465.12 × 295.68
  4. Step 4: Simplify right side
    311.52x = 137,526.68
  5. Step 5: Solve for x
    x = 137,526.68/311.52
  6. Step 6: Final answer
    x = 441.47

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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.