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Finding the Fourth Proportional to 438.80, 657.57 and 243.50

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Solution

The fourth proportional to 438.80, 657.57 and 243.50 is: 364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.80 : 657.57 = 243.50 : x
  2. Step 2: Convert to fraction form
    438.80/657.57 = 243.50/x
  3. Step 3: Cross multiply
    438.80x = 657.57 × 243.50
  4. Step 4: Simplify right side
    438.80x = 160,115.01
  5. Step 5: Solve for x
    x = 160,115.01/438.80
  6. Step 6: Final answer
    x = 364.90

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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.