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Finding the Fourth Proportional to 155.02, 214.14 and 126.04

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Solution

The fourth proportional to 155.02, 214.14 and 126.04 is: 174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.02 : 214.14 = 126.04 : x
  2. Step 2: Convert to fraction form
    155.02/214.14 = 126.04/x
  3. Step 3: Cross multiply
    155.02x = 214.14 × 126.04
  4. Step 4: Simplify right side
    155.02x = 26,990.21
  5. Step 5: Solve for x
    x = 26,990.21/155.02
  6. Step 6: Final answer
    x = 174.11

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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.