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Finding the Fourth Proportional to 270.17, 405.15 and 116.17

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Solution

The fourth proportional to 270.17, 405.15 and 116.17 is: 174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.17 : 405.15 = 116.17 : x
  2. Step 2: Convert to fraction form
    270.17/405.15 = 116.17/x
  3. Step 3: Cross multiply
    270.17x = 405.15 × 116.17
  4. Step 4: Simplify right side
    270.17x = 47,066.28
  5. Step 5: Solve for x
    x = 47,066.28/270.17
  6. Step 6: Final answer
    x = 174.21

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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.