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Finding the Fourth Proportional to 317.49, 473.07 and 299.88

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Solution

The fourth proportional to 317.49, 473.07 and 299.88 is: 446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.49 : 473.07 = 299.88 : x
  2. Step 2: Convert to fraction form
    317.49/473.07 = 299.88/x
  3. Step 3: Cross multiply
    317.49x = 473.07 × 299.88
  4. Step 4: Simplify right side
    317.49x = 141,864.23
  5. Step 5: Solve for x
    x = 141,864.23/317.49
  6. Step 6: Final answer
    x = 446.83

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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.