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Finding the Fourth Proportional to 214.08, 295.19 and 158.15

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Solution

The fourth proportional to 214.08, 295.19 and 158.15 is: 218.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.08 : 295.19 = 158.15 : x
  2. Step 2: Convert to fraction form
    214.08/295.19 = 158.15/x
  3. Step 3: Cross multiply
    214.08x = 295.19 × 158.15
  4. Step 4: Simplify right side
    214.08x = 46,683.48
  5. Step 5: Solve for x
    x = 46,683.48/214.08
  6. Step 6: Final answer
    x = 218.06

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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.