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Finding the Fourth Proportional to 431.73, 595.90 and 266.08

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Solution

The fourth proportional to 431.73, 595.90 and 266.08 is: 367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.73 : 595.90 = 266.08 : x
  2. Step 2: Convert to fraction form
    431.73/595.90 = 266.08/x
  3. Step 3: Cross multiply
    431.73x = 595.90 × 266.08
  4. Step 4: Simplify right side
    431.73x = 158,553.86
  5. Step 5: Solve for x
    x = 158,553.86/431.73
  6. Step 6: Final answer
    x = 367.25

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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.