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Finding the Fourth Proportional to 590.75, 886.13 and 266.21

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Solution

The fourth proportional to 590.75, 886.13 and 266.21 is: 399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.75 : 886.13 = 266.21 : x
  2. Step 2: Convert to fraction form
    590.75/886.13 = 266.21/x
  3. Step 3: Cross multiply
    590.75x = 886.13 × 266.21
  4. Step 4: Simplify right side
    590.75x = 235,896.67
  5. Step 5: Solve for x
    x = 235,896.67/590.75
  6. Step 6: Final answer
    x = 399.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.