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Finding the Fourth Proportional to 403.90, 557.81 and 317.23

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Solution

The fourth proportional to 403.90, 557.81 and 317.23 is: 438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.90 : 557.81 = 317.23 : x
  2. Step 2: Convert to fraction form
    403.90/557.81 = 317.23/x
  3. Step 3: Cross multiply
    403.90x = 557.81 × 317.23
  4. Step 4: Simplify right side
    403.90x = 176,954.07
  5. Step 5: Solve for x
    x = 176,954.07/403.90
  6. Step 6: Final answer
    x = 438.11

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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.