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Finding the Fourth Proportional to 358.43, 537.83 and 312.25

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Solution

The fourth proportional to 358.43, 537.83 and 312.25 is: 468.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.43 : 537.83 = 312.25 : x
  2. Step 2: Convert to fraction form
    358.43/537.83 = 312.25/x
  3. Step 3: Cross multiply
    358.43x = 537.83 × 312.25
  4. Step 4: Simplify right side
    358.43x = 167,934.51
  5. Step 5: Solve for x
    x = 167,934.51/358.43
  6. Step 6: Final answer
    x = 468.52

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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.