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Finding the Fourth Proportional to 397.01, 595.34 and 258.05

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Solution

The fourth proportional to 397.01, 595.34 and 258.05 is: 386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.01 : 595.34 = 258.05 : x
  2. Step 2: Convert to fraction form
    397.01/595.34 = 258.05/x
  3. Step 3: Cross multiply
    397.01x = 595.34 × 258.05
  4. Step 4: Simplify right side
    397.01x = 153,628.65
  5. Step 5: Solve for x
    x = 153,628.65/397.01
  6. Step 6: Final answer
    x = 386.96

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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.