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Finding the Fourth Proportional to 914.90, 1,372.34 and 266.09

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Solution

The fourth proportional to 914.90, 1,372.34 and 266.09 is: 399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.90 : 1,372.34 = 266.09 : x
  2. Step 2: Convert to fraction form
    914.90/1,372.34 = 266.09/x
  3. Step 3: Cross multiply
    914.90x = 1,372.34 × 266.09
  4. Step 4: Simplify right side
    914.90x = 365,159.75
  5. Step 5: Solve for x
    x = 365,159.75/914.90
  6. Step 6: Final answer
    x = 399.13

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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.