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Finding the Fourth Proportional to 242.36, 362.80 and 187.48

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Solution

The fourth proportional to 242.36, 362.80 and 187.48 is: 280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.36 : 362.80 = 187.48 : x
  2. Step 2: Convert to fraction form
    242.36/362.80 = 187.48/x
  3. Step 3: Cross multiply
    242.36x = 362.80 × 187.48
  4. Step 4: Simplify right side
    242.36x = 68,017.74
  5. Step 5: Solve for x
    x = 68,017.74/242.36
  6. Step 6: Final answer
    x = 280.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.