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Finding the Fourth Proportional to 335.80, 502.90 and 258.21

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Solution

The fourth proportional to 335.80, 502.90 and 258.21 is: 386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.80 : 502.90 = 258.21 : x
  2. Step 2: Convert to fraction form
    335.80/502.90 = 258.21/x
  3. Step 3: Cross multiply
    335.80x = 502.90 × 258.21
  4. Step 4: Simplify right side
    335.80x = 129,853.81
  5. Step 5: Solve for x
    x = 129,853.81/335.80
  6. Step 6: Final answer
    x = 386.70

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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.