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Finding the Fourth Proportional to 142.94, 214.66 and 117.31

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Solution

The fourth proportional to 142.94, 214.66 and 117.31 is: 176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.94 : 214.66 = 117.31 : x
  2. Step 2: Convert to fraction form
    142.94/214.66 = 117.31/x
  3. Step 3: Cross multiply
    142.94x = 214.66 × 117.31
  4. Step 4: Simplify right side
    142.94x = 25,181.76
  5. Step 5: Solve for x
    x = 25,181.76/142.94
  6. Step 6: Final answer
    x = 176.17

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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.