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Finding the Fourth Proportional to 438.56, 655.06 and 341.36

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Solution

The fourth proportional to 438.56, 655.06 and 341.36 is: 509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.56 : 655.06 = 341.36 : x
  2. Step 2: Convert to fraction form
    438.56/655.06 = 341.36/x
  3. Step 3: Cross multiply
    438.56x = 655.06 × 341.36
  4. Step 4: Simplify right side
    438.56x = 223,611.28
  5. Step 5: Solve for x
    x = 223,611.28/438.56
  6. Step 6: Final answer
    x = 509.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.