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Finding the Fourth Proportional to 358.88, 536.34 and 266.54

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Solution

The fourth proportional to 358.88, 536.34 and 266.54 is: 398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.88 : 536.34 = 266.54 : x
  2. Step 2: Convert to fraction form
    358.88/536.34 = 266.54/x
  3. Step 3: Cross multiply
    358.88x = 536.34 × 266.54
  4. Step 4: Simplify right side
    358.88x = 142,955.90
  5. Step 5: Solve for x
    x = 142,955.90/358.88
  6. Step 6: Final answer
    x = 398.34

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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.