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Finding the Fourth Proportional to 317.63, 438.29 and 177.76

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Solution

The fourth proportional to 317.63, 438.29 and 177.76 is: 245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.63 : 438.29 = 177.76 : x
  2. Step 2: Convert to fraction form
    317.63/438.29 = 177.76/x
  3. Step 3: Cross multiply
    317.63x = 438.29 × 177.76
  4. Step 4: Simplify right side
    317.63x = 77,908.24
  5. Step 5: Solve for x
    x = 77,908.24/317.63
  6. Step 6: Final answer
    x = 245.28

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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.