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Finding the Fourth Proportional to 214.29, 295.74 and 124.59

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Solution

The fourth proportional to 214.29, 295.74 and 124.59 is: 171.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.29 : 295.74 = 124.59 : x
  2. Step 2: Convert to fraction form
    214.29/295.74 = 124.59/x
  3. Step 3: Cross multiply
    214.29x = 295.74 × 124.59
  4. Step 4: Simplify right side
    214.29x = 36,846.25
  5. Step 5: Solve for x
    x = 36,846.25/214.29
  6. Step 6: Final answer
    x = 171.95

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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.