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Finding the Fourth Proportional to 349.10, 521.64 and 266.36

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Solution

The fourth proportional to 349.10, 521.64 and 266.36 is: 398.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.10 : 521.64 = 266.36 : x
  2. Step 2: Convert to fraction form
    349.10/521.64 = 266.36/x
  3. Step 3: Cross multiply
    349.10x = 521.64 × 266.36
  4. Step 4: Simplify right side
    349.10x = 138,944.03
  5. Step 5: Solve for x
    x = 138,944.03/349.10
  6. Step 6: Final answer
    x = 398.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.