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Finding the Fourth Proportional to 317.47, 438.14 and 229.07

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Solution

The fourth proportional to 317.47, 438.14 and 229.07 is: 316.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.47 : 438.14 = 229.07 : x
  2. Step 2: Convert to fraction form
    317.47/438.14 = 229.07/x
  3. Step 3: Cross multiply
    317.47x = 438.14 × 229.07
  4. Step 4: Simplify right side
    317.47x = 100,364.73
  5. Step 5: Solve for x
    x = 100,364.73/317.47
  6. Step 6: Final answer
    x = 316.14

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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.