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Finding the Fourth Proportional to 266.94, 368.87 and 214.38

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Solution

The fourth proportional to 266.94, 368.87 and 214.38 is: 296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.94 : 368.87 = 214.38 : x
  2. Step 2: Convert to fraction form
    266.94/368.87 = 214.38/x
  3. Step 3: Cross multiply
    266.94x = 368.87 × 214.38
  4. Step 4: Simplify right side
    266.94x = 79,077.28
  5. Step 5: Solve for x
    x = 79,077.28/266.94
  6. Step 6: Final answer
    x = 296.24

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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.