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Finding the Fourth Proportional to 242.60, 362.48 and 234.09

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Solution

The fourth proportional to 242.60, 362.48 and 234.09 is: 349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.60 : 362.48 = 234.09 : x
  2. Step 2: Convert to fraction form
    242.60/362.48 = 234.09/x
  3. Step 3: Cross multiply
    242.60x = 362.48 × 234.09
  4. Step 4: Simplify right side
    242.60x = 84,851.77
  5. Step 5: Solve for x
    x = 84,851.77/242.60
  6. Step 6: Final answer
    x = 349.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.