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Finding the Fourth Proportional to 397.68, 595.80 and 312

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Solution

The fourth proportional to 397.68, 595.80 and 312 is: 467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.68 : 595.80 = 312 : x
  2. Step 2: Convert to fraction form
    397.68/595.80 = 312/x
  3. Step 3: Cross multiply
    397.68x = 595.80 × 312
  4. Step 4: Simplify right side
    397.68x = 185,889.60
  5. Step 5: Solve for x
    x = 185,889.60/397.68
  6. Step 6: Final answer
    x = 467.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.