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Finding the Fourth Proportional to 266.57, 368.05 and 167.03

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Solution

The fourth proportional to 266.57, 368.05 and 167.03 is: 230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.57 : 368.05 = 167.03 : x
  2. Step 2: Convert to fraction form
    266.57/368.05 = 167.03/x
  3. Step 3: Cross multiply
    266.57x = 368.05 × 167.03
  4. Step 4: Simplify right side
    266.57x = 61,475.14
  5. Step 5: Solve for x
    x = 61,475.14/266.57
  6. Step 6: Final answer
    x = 230.61

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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.