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Finding the Fourth Proportional to 753.40, 1,129.90 and 266.40

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Solution

The fourth proportional to 753.40, 1,129.90 and 266.40 is: 399.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.40 : 1,129.90 = 266.40 : x
  2. Step 2: Convert to fraction form
    753.40/1,129.90 = 266.40/x
  3. Step 3: Cross multiply
    753.40x = 1,129.90 × 266.40
  4. Step 4: Simplify right side
    753.40x = 301,005.36
  5. Step 5: Solve for x
    x = 301,005.36/753.40
  6. Step 6: Final answer
    x = 399.53

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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.