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Finding the Fourth Proportional to 369.13, 554.10 and 207.13

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Solution

The fourth proportional to 369.13, 554.10 and 207.13 is: 310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.13 : 554.10 = 207.13 : x
  2. Step 2: Convert to fraction form
    369.13/554.10 = 207.13/x
  3. Step 3: Cross multiply
    369.13x = 554.10 × 207.13
  4. Step 4: Simplify right side
    369.13x = 114,770.73
  5. Step 5: Solve for x
    x = 114,770.73/369.13
  6. Step 6: Final answer
    x = 310.92

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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.