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Finding the Fourth Proportional to 317.03, 473.51 and 243.90

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Solution

The fourth proportional to 317.03, 473.51 and 243.90 is: 364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.03 : 473.51 = 243.90 : x
  2. Step 2: Convert to fraction form
    317.03/473.51 = 243.90/x
  3. Step 3: Cross multiply
    317.03x = 473.51 × 243.90
  4. Step 4: Simplify right side
    317.03x = 115,487.87
  5. Step 5: Solve for x
    x = 115,487.87/317.03
  6. Step 6: Final answer
    x = 364.29

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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.