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Finding the Fourth Proportional to 214.40, 321.56 and 60.34

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Solution

The fourth proportional to 214.40, 321.56 and 60.34 is: 90.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.40 : 321.56 = 60.34 : x
  2. Step 2: Convert to fraction form
    214.40/321.56 = 60.34/x
  3. Step 3: Cross multiply
    214.40x = 321.56 × 60.34
  4. Step 4: Simplify right side
    214.40x = 19,402.93
  5. Step 5: Solve for x
    x = 19,402.93/214.40
  6. Step 6: Final answer
    x = 90.50

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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.