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Finding the Fourth Proportional to 317.10, 435.27 and 281.35

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Solution

The fourth proportional to 317.10, 435.27 and 281.35 is: 386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.10 : 435.27 = 281.35 : x
  2. Step 2: Convert to fraction form
    317.10/435.27 = 281.35/x
  3. Step 3: Cross multiply
    317.10x = 435.27 × 281.35
  4. Step 4: Simplify right side
    317.10x = 122,462.13
  5. Step 5: Solve for x
    x = 122,462.13/317.10
  6. Step 6: Final answer
    x = 386.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.