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Finding the Fourth Proportional to 214.42, 295.86 and 148.90

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Solution

The fourth proportional to 214.42, 295.86 and 148.90 is: 205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.42 : 295.86 = 148.90 : x
  2. Step 2: Convert to fraction form
    214.42/295.86 = 148.90/x
  3. Step 3: Cross multiply
    214.42x = 295.86 × 148.90
  4. Step 4: Simplify right side
    214.42x = 44,053.55
  5. Step 5: Solve for x
    x = 44,053.55/214.42
  6. Step 6: Final answer
    x = 205.45

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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.