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Finding the Fourth Proportional to 317.58, 474.20 and 281.22

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Solution

The fourth proportional to 317.58, 474.20 and 281.22 is: 419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.58 : 474.20 = 281.22 : x
  2. Step 2: Convert to fraction form
    317.58/474.20 = 281.22/x
  3. Step 3: Cross multiply
    317.58x = 474.20 × 281.22
  4. Step 4: Simplify right side
    317.58x = 133,353.12
  5. Step 5: Solve for x
    x = 133,353.12/317.58
  6. Step 6: Final answer
    x = 419.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.