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Finding the Fourth Proportional to 214.37, 295.75 and 148.89

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Solution

The fourth proportional to 214.37, 295.75 and 148.89 is: 205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.37 : 295.75 = 148.89 : x
  2. Step 2: Convert to fraction form
    214.37/295.75 = 148.89/x
  3. Step 3: Cross multiply
    214.37x = 295.75 × 148.89
  4. Step 4: Simplify right side
    214.37x = 44,034.22
  5. Step 5: Solve for x
    x = 44,034.22/214.37
  6. Step 6: Final answer
    x = 205.41

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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.