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Finding the Fourth Proportional to 266.61, 368.01 and 161.65

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Solution

The fourth proportional to 266.61, 368.01 and 161.65 is: 223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.61 : 368.01 = 161.65 : x
  2. Step 2: Convert to fraction form
    266.61/368.01 = 161.65/x
  3. Step 3: Cross multiply
    266.61x = 368.01 × 161.65
  4. Step 4: Simplify right side
    266.61x = 59,488.82
  5. Step 5: Solve for x
    x = 59,488.82/266.61
  6. Step 6: Final answer
    x = 223.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.