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Finding the Fourth Proportional to 208.61, 312.80 and 117.48

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Solution

The fourth proportional to 208.61, 312.80 and 117.48 is: 176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.61 : 312.80 = 117.48 : x
  2. Step 2: Convert to fraction form
    208.61/312.80 = 117.48/x
  3. Step 3: Cross multiply
    208.61x = 312.80 × 117.48
  4. Step 4: Simplify right side
    208.61x = 36,747.16
  5. Step 5: Solve for x
    x = 36,747.16/208.61
  6. Step 6: Final answer
    x = 176.16

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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.