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Finding the Fourth Proportional to 242.58, 365.66 and 202.27

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Solution

The fourth proportional to 242.58, 365.66 and 202.27 is: 304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.58 : 365.66 = 202.27 : x
  2. Step 2: Convert to fraction form
    242.58/365.66 = 202.27/x
  3. Step 3: Cross multiply
    242.58x = 365.66 × 202.27
  4. Step 4: Simplify right side
    242.58x = 73,962.05
  5. Step 5: Solve for x
    x = 73,962.05/242.58
  6. Step 6: Final answer
    x = 304.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.