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Finding the Fourth Proportional to 214.02, 320.68 and 152.85

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Solution

The fourth proportional to 214.02, 320.68 and 152.85 is: 229.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.02 : 320.68 = 152.85 : x
  2. Step 2: Convert to fraction form
    214.02/320.68 = 152.85/x
  3. Step 3: Cross multiply
    214.02x = 320.68 × 152.85
  4. Step 4: Simplify right side
    214.02x = 49,015.94
  5. Step 5: Solve for x
    x = 49,015.94/214.02
  6. Step 6: Final answer
    x = 229.03

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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.