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Finding the Fourth Proportional to 508.90, 702 and 361.27

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Solution

The fourth proportional to 508.90, 702 and 361.27 is: 498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.90 : 702 = 361.27 : x
  2. Step 2: Convert to fraction form
    508.90/702 = 361.27/x
  3. Step 3: Cross multiply
    508.90x = 702 × 361.27
  4. Step 4: Simplify right side
    508.90x = 253,611.54
  5. Step 5: Solve for x
    x = 253,611.54/508.90
  6. Step 6: Final answer
    x = 498.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.