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Finding the Fourth Proportional to 317.50, 473.69 and 282.88

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Solution

The fourth proportional to 317.50, 473.69 and 282.88 is: 422.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.50 : 473.69 = 282.88 : x
  2. Step 2: Convert to fraction form
    317.50/473.69 = 282.88/x
  3. Step 3: Cross multiply
    317.50x = 473.69 × 282.88
  4. Step 4: Simplify right side
    317.50x = 133,994.47
  5. Step 5: Solve for x
    x = 133,994.47/317.50
  6. Step 6: Final answer
    x = 422.03

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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.