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Finding the Fourth Proportional to 438.16, 657.14 and 206.83

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Solution

The fourth proportional to 438.16, 657.14 and 206.83 is: 310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.16 : 657.14 = 206.83 : x
  2. Step 2: Convert to fraction form
    438.16/657.14 = 206.83/x
  3. Step 3: Cross multiply
    438.16x = 657.14 × 206.83
  4. Step 4: Simplify right side
    438.16x = 135,916.27
  5. Step 5: Solve for x
    x = 135,916.27/438.16
  6. Step 6: Final answer
    x = 310.20

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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.