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Finding the Fourth Proportional to 162.21, 244.29 and 142.17

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Solution

The fourth proportional to 162.21, 244.29 and 142.17 is: 214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.21 : 244.29 = 142.17 : x
  2. Step 2: Convert to fraction form
    162.21/244.29 = 142.17/x
  3. Step 3: Cross multiply
    162.21x = 244.29 × 142.17
  4. Step 4: Simplify right side
    162.21x = 34,730.71
  5. Step 5: Solve for x
    x = 34,730.71/162.21
  6. Step 6: Final answer
    x = 214.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.