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Finding the Fourth Proportional to 242.40, 362.08 and 205.94

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Solution

The fourth proportional to 242.40, 362.08 and 205.94 is: 307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.40 : 362.08 = 205.94 : x
  2. Step 2: Convert to fraction form
    242.40/362.08 = 205.94/x
  3. Step 3: Cross multiply
    242.40x = 362.08 × 205.94
  4. Step 4: Simplify right side
    242.40x = 74,566.76
  5. Step 5: Solve for x
    x = 74,566.76/242.40
  6. Step 6: Final answer
    x = 307.62

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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.