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Finding the Fourth Proportional to 317.99, 438.80 and 178.13

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Solution

The fourth proportional to 317.99, 438.80 and 178.13 is: 245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.99 : 438.80 = 178.13 : x
  2. Step 2: Convert to fraction form
    317.99/438.80 = 178.13/x
  3. Step 3: Cross multiply
    317.99x = 438.80 × 178.13
  4. Step 4: Simplify right side
    317.99x = 78,160.36
  5. Step 5: Solve for x
    x = 78,160.36/317.99
  6. Step 6: Final answer
    x = 245.80

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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.