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Finding the Fourth Proportional to 358.58, 536.01 and 266.42

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Solution

The fourth proportional to 358.58, 536.01 and 266.42 is: 398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.58 : 536.01 = 266.42 : x
  2. Step 2: Convert to fraction form
    358.58/536.01 = 266.42/x
  3. Step 3: Cross multiply
    358.58x = 536.01 × 266.42
  4. Step 4: Simplify right side
    358.58x = 142,803.78
  5. Step 5: Solve for x
    x = 142,803.78/358.58
  6. Step 6: Final answer
    x = 398.25

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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.