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Finding the Fourth Proportional to 214.30, 295.38 and 148.66

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Solution

The fourth proportional to 214.30, 295.38 and 148.66 is: 204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.30 : 295.38 = 148.66 : x
  2. Step 2: Convert to fraction form
    214.30/295.38 = 148.66/x
  3. Step 3: Cross multiply
    214.30x = 295.38 × 148.66
  4. Step 4: Simplify right side
    214.30x = 43,911.19
  5. Step 5: Solve for x
    x = 43,911.19/214.30
  6. Step 6: Final answer
    x = 204.91

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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.