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Finding the Fourth Proportional to 266.40, 365.40 and 259.20

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Solution

The fourth proportional to 266.40, 365.40 and 259.20 is: 355.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.40 : 365.40 = 259.20 : x
  2. Step 2: Convert to fraction form
    266.40/365.40 = 259.20/x
  3. Step 3: Cross multiply
    266.40x = 365.40 × 259.20
  4. Step 4: Simplify right side
    266.40x = 94,711.68
  5. Step 5: Solve for x
    x = 94,711.68/266.40
  6. Step 6: Final answer
    x = 355.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.