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Finding the Fourth Proportional to 205.65, 307.02 and 186.53

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Solution

The fourth proportional to 205.65, 307.02 and 186.53 is: 278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.65 : 307.02 = 186.53 : x
  2. Step 2: Convert to fraction form
    205.65/307.02 = 186.53/x
  3. Step 3: Cross multiply
    205.65x = 307.02 × 186.53
  4. Step 4: Simplify right side
    205.65x = 57,266.91
  5. Step 5: Solve for x
    x = 57,266.91/205.65
  6. Step 6: Final answer
    x = 278.47

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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.