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Finding the Fourth Proportional to 438.16, 657.68 and 329.68

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Solution

The fourth proportional to 438.16, 657.68 and 329.68 is: 494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.16 : 657.68 = 329.68 : x
  2. Step 2: Convert to fraction form
    438.16/657.68 = 329.68/x
  3. Step 3: Cross multiply
    438.16x = 657.68 × 329.68
  4. Step 4: Simplify right side
    438.16x = 216,823.94
  5. Step 5: Solve for x
    x = 216,823.94/438.16
  6. Step 6: Final answer
    x = 494.85

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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.