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Finding the Fourth Proportional to 753.40, 1,130.22 and 266.44

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Solution

The fourth proportional to 753.40, 1,130.22 and 266.44 is: 399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.40 : 1,130.22 = 266.44 : x
  2. Step 2: Convert to fraction form
    753.40/1,130.22 = 266.44/x
  3. Step 3: Cross multiply
    753.40x = 1,130.22 × 266.44
  4. Step 4: Simplify right side
    753.40x = 301,135.82
  5. Step 5: Solve for x
    x = 301,135.82/753.40
  6. Step 6: Final answer
    x = 399.70

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1.5x scale

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.