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Finding the Fourth Proportional to 317.05, 473.11 and 291.13

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Solution

The fourth proportional to 317.05, 473.11 and 291.13 is: 434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.05 : 473.11 = 291.13 : x
  2. Step 2: Convert to fraction form
    317.05/473.11 = 291.13/x
  3. Step 3: Cross multiply
    317.05x = 473.11 × 291.13
  4. Step 4: Simplify right side
    317.05x = 137,734.60
  5. Step 5: Solve for x
    x = 137,734.60/317.05
  6. Step 6: Final answer
    x = 434.43

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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.