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Finding the Fourth Proportional to 317.46, 473.82 and 291.81

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Solution

The fourth proportional to 317.46, 473.82 and 291.81 is: 435.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.46 : 473.82 = 291.81 : x
  2. Step 2: Convert to fraction form
    317.46/473.82 = 291.81/x
  3. Step 3: Cross multiply
    317.46x = 473.82 × 291.81
  4. Step 4: Simplify right side
    317.46x = 138,265.41
  5. Step 5: Solve for x
    x = 138,265.41/317.46
  6. Step 6: Final answer
    x = 435.54

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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.