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Finding the Fourth Proportional to 379.40, 570.12 and 206.18

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Solution

The fourth proportional to 379.40, 570.12 and 206.18 is: 309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.40 : 570.12 = 206.18 : x
  2. Step 2: Convert to fraction form
    379.40/570.12 = 206.18/x
  3. Step 3: Cross multiply
    379.40x = 570.12 × 206.18
  4. Step 4: Simplify right side
    379.40x = 117,547.34
  5. Step 5: Solve for x
    x = 117,547.34/379.40
  6. Step 6: Final answer
    x = 309.82

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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.