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Finding the Fourth Proportional to 266.85, 368.32 and 178.34

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Solution

The fourth proportional to 266.85, 368.32 and 178.34 is: 246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.85 : 368.32 = 178.34 : x
  2. Step 2: Convert to fraction form
    266.85/368.32 = 178.34/x
  3. Step 3: Cross multiply
    266.85x = 368.32 × 178.34
  4. Step 4: Simplify right side
    266.85x = 65,686.19
  5. Step 5: Solve for x
    x = 65,686.19/266.85
  6. Step 6: Final answer
    x = 246.15

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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.