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Finding the Fourth Proportional to 214.15, 320.61 and 159.20

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Solution

The fourth proportional to 214.15, 320.61 and 159.20 is: 238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.15 : 320.61 = 159.20 : x
  2. Step 2: Convert to fraction form
    214.15/320.61 = 159.20/x
  3. Step 3: Cross multiply
    214.15x = 320.61 × 159.20
  4. Step 4: Simplify right side
    214.15x = 51,041.11
  5. Step 5: Solve for x
    x = 51,041.11/214.15
  6. Step 6: Final answer
    x = 238.34

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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.