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Finding the Fourth Proportional to 397.65, 595.80 and 214.86

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Solution

The fourth proportional to 397.65, 595.80 and 214.86 is: 321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.65 : 595.80 = 214.86 : x
  2. Step 2: Convert to fraction form
    397.65/595.80 = 214.86/x
  3. Step 3: Cross multiply
    397.65x = 595.80 × 214.86
  4. Step 4: Simplify right side
    397.65x = 128,013.59
  5. Step 5: Solve for x
    x = 128,013.59/397.65
  6. Step 6: Final answer
    x = 321.93

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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.