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Finding the Fourth Proportional to 317.74, 473.33 and 297.82

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Solution

The fourth proportional to 317.74, 473.33 and 297.82 is: 443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.74 : 473.33 = 297.82 : x
  2. Step 2: Convert to fraction form
    317.74/473.33 = 297.82/x
  3. Step 3: Cross multiply
    317.74x = 473.33 × 297.82
  4. Step 4: Simplify right side
    317.74x = 140,967.14
  5. Step 5: Solve for x
    x = 140,967.14/317.74
  6. Step 6: Final answer
    x = 443.66

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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.