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Finding the Fourth Proportional to 438.35, 665.14 and 438.35

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Solution

The fourth proportional to 438.35, 665.14 and 438.35 is: 665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.35 : 665.14 = 438.35 : x
  2. Step 2: Convert to fraction form
    438.35/665.14 = 438.35/x
  3. Step 3: Cross multiply
    438.35x = 665.14 × 438.35
  4. Step 4: Simplify right side
    438.35x = 291,564.12
  5. Step 5: Solve for x
    x = 291,564.12/438.35
  6. Step 6: Final answer
    x = 665.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.