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Finding the Fourth Proportional to 214.04, 320.78 and 98.54

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Solution

The fourth proportional to 214.04, 320.78 and 98.54 is: 147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.04 : 320.78 = 98.54 : x
  2. Step 2: Convert to fraction form
    214.04/320.78 = 98.54/x
  3. Step 3: Cross multiply
    214.04x = 320.78 × 98.54
  4. Step 4: Simplify right side
    214.04x = 31,609.66
  5. Step 5: Solve for x
    x = 31,609.66/214.04
  6. Step 6: Final answer
    x = 147.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.