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Finding the Fourth Proportional to 555.14, 832.85 and 208.48

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Solution

The fourth proportional to 555.14, 832.85 and 208.48 is: 312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.14 : 832.85 = 208.48 : x
  2. Step 2: Convert to fraction form
    555.14/832.85 = 208.48/x
  3. Step 3: Cross multiply
    555.14x = 832.85 × 208.48
  4. Step 4: Simplify right side
    555.14x = 173,632.57
  5. Step 5: Solve for x
    x = 173,632.57/555.14
  6. Step 6: Final answer
    x = 312.77

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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.