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Finding the Fourth Proportional to 358.14, 536.40 and 296.86

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Solution

The fourth proportional to 358.14, 536.40 and 296.86 is: 444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.14 : 536.40 = 296.86 : x
  2. Step 2: Convert to fraction form
    358.14/536.40 = 296.86/x
  3. Step 3: Cross multiply
    358.14x = 536.40 × 296.86
  4. Step 4: Simplify right side
    358.14x = 159,235.70
  5. Step 5: Solve for x
    x = 159,235.70/358.14
  6. Step 6: Final answer
    x = 444.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.