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Finding the Fourth Proportional to 220.76, 304.80 and 205.24

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Solution

The fourth proportional to 220.76, 304.80 and 205.24 is: 283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.76 : 304.80 = 205.24 : x
  2. Step 2: Convert to fraction form
    220.76/304.80 = 205.24/x
  3. Step 3: Cross multiply
    220.76x = 304.80 × 205.24
  4. Step 4: Simplify right side
    220.76x = 62,557.15
  5. Step 5: Solve for x
    x = 62,557.15/220.76
  6. Step 6: Final answer
    x = 283.37

Related Problems

Find fourth proportional to 110.38, 152.40 and 102.62
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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.