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Finding the Fourth Proportional to 438.45, 657.71 and 195

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Solution

The fourth proportional to 438.45, 657.71 and 195 is: 292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.45 : 657.71 = 195 : x
  2. Step 2: Convert to fraction form
    438.45/657.71 = 195/x
  3. Step 3: Cross multiply
    438.45x = 657.71 × 195
  4. Step 4: Simplify right side
    438.45x = 128,253.45
  5. Step 5: Solve for x
    x = 128,253.45/438.45
  6. Step 6: Final answer
    x = 292.52

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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.