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Finding the Fourth Proportional to 317.14, 437.25 and 292.42

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Solution

The fourth proportional to 317.14, 437.25 and 292.42 is: 403.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.14 : 437.25 = 292.42 : x
  2. Step 2: Convert to fraction form
    317.14/437.25 = 292.42/x
  3. Step 3: Cross multiply
    317.14x = 437.25 × 292.42
  4. Step 4: Simplify right side
    317.14x = 127,860.65
  5. Step 5: Solve for x
    x = 127,860.65/317.14
  6. Step 6: Final answer
    x = 403.17

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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.