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Finding the Fourth Proportional to 358.21, 493.86 and 265.06

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Solution

The fourth proportional to 358.21, 493.86 and 265.06 is: 365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.21 : 493.86 = 265.06 : x
  2. Step 2: Convert to fraction form
    358.21/493.86 = 265.06/x
  3. Step 3: Cross multiply
    358.21x = 493.86 × 265.06
  4. Step 4: Simplify right side
    358.21x = 130,902.53
  5. Step 5: Solve for x
    x = 130,902.53/358.21
  6. Step 6: Final answer
    x = 365.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.