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Finding the Fourth Proportional to 438.72, 657.76 and 195.12

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Solution

The fourth proportional to 438.72, 657.76 and 195.12 is: 292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.72 : 657.76 = 195.12 : x
  2. Step 2: Convert to fraction form
    438.72/657.76 = 195.12/x
  3. Step 3: Cross multiply
    438.72x = 657.76 × 195.12
  4. Step 4: Simplify right side
    438.72x = 128,342.13
  5. Step 5: Solve for x
    x = 128,342.13/438.72
  6. Step 6: Final answer
    x = 292.54

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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.