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Finding the Fourth Proportional to 266.01, 365.61 and 234.74

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Solution

The fourth proportional to 266.01, 365.61 and 234.74 is: 322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.01 : 365.61 = 234.74 : x
  2. Step 2: Convert to fraction form
    266.01/365.61 = 234.74/x
  3. Step 3: Cross multiply
    266.01x = 365.61 × 234.74
  4. Step 4: Simplify right side
    266.01x = 85,822.51
  5. Step 5: Solve for x
    x = 85,822.51/266.01
  6. Step 6: Final answer
    x = 322.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.