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Finding the Fourth Proportional to 206.24, 284.54 and 117.72

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Solution

The fourth proportional to 206.24, 284.54 and 117.72 is: 162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.24 : 284.54 = 117.72 : x
  2. Step 2: Convert to fraction form
    206.24/284.54 = 117.72/x
  3. Step 3: Cross multiply
    206.24x = 284.54 × 117.72
  4. Step 4: Simplify right side
    206.24x = 33,495.46
  5. Step 5: Solve for x
    x = 33,495.46/206.24
  6. Step 6: Final answer
    x = 162.41

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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.