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Finding the Fourth Proportional to 242.66, 362.40 and 241.11

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Solution

The fourth proportional to 242.66, 362.40 and 241.11 is: 360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.66 : 362.40 = 241.11 : x
  2. Step 2: Convert to fraction form
    242.66/362.40 = 241.11/x
  3. Step 3: Cross multiply
    242.66x = 362.40 × 241.11
  4. Step 4: Simplify right side
    242.66x = 87,378.26
  5. Step 5: Solve for x
    x = 87,378.26/242.66
  6. Step 6: Final answer
    x = 360.09

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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.