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Finding the Fourth Proportional to 266.63, 368.13 and 167.09

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Solution

The fourth proportional to 266.63, 368.13 and 167.09 is: 230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.63 : 368.13 = 167.09 : x
  2. Step 2: Convert to fraction form
    266.63/368.13 = 167.09/x
  3. Step 3: Cross multiply
    266.63x = 368.13 × 167.09
  4. Step 4: Simplify right side
    266.63x = 61,510.84
  5. Step 5: Solve for x
    x = 61,510.84/266.63
  6. Step 6: Final answer
    x = 230.70

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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.