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Finding the Fourth Proportional to 438.66, 657.95 and 255.94

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Solution

The fourth proportional to 438.66, 657.95 and 255.94 is: 383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.66 : 657.95 = 255.94 : x
  2. Step 2: Convert to fraction form
    438.66/657.95 = 255.94/x
  3. Step 3: Cross multiply
    438.66x = 657.95 × 255.94
  4. Step 4: Simplify right side
    438.66x = 168,395.72
  5. Step 5: Solve for x
    x = 168,395.72/438.66
  6. Step 6: Final answer
    x = 383.89

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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.