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Finding the Fourth Proportional to 397.84, 595.68 and 316.48

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Solution

The fourth proportional to 397.84, 595.68 and 316.48 is: 473.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.84 : 595.68 = 316.48 : x
  2. Step 2: Convert to fraction form
    397.84/595.68 = 316.48/x
  3. Step 3: Cross multiply
    397.84x = 595.68 × 316.48
  4. Step 4: Simplify right side
    397.84x = 188,520.81
  5. Step 5: Solve for x
    x = 188,520.81/397.84
  6. Step 6: Final answer
    x = 473.86

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Why These Related Problems?

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