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Finding the Fourth Proportional to 219.68, 302.80 and 154.32

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Solution

The fourth proportional to 219.68, 302.80 and 154.32 is: 212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.68 : 302.80 = 154.32 : x
  2. Step 2: Convert to fraction form
    219.68/302.80 = 154.32/x
  3. Step 3: Cross multiply
    219.68x = 302.80 × 154.32
  4. Step 4: Simplify right side
    219.68x = 46,728.10
  5. Step 5: Solve for x
    x = 46,728.10/219.68
  6. Step 6: Final answer
    x = 212.71

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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.