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Finding the Fourth Proportional to 317.46, 473.49 and 290.13

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Solution

The fourth proportional to 317.46, 473.49 and 290.13 is: 432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.46 : 473.49 = 290.13 : x
  2. Step 2: Convert to fraction form
    317.46/473.49 = 290.13/x
  3. Step 3: Cross multiply
    317.46x = 473.49 × 290.13
  4. Step 4: Simplify right side
    317.46x = 137,373.65
  5. Step 5: Solve for x
    x = 137,373.65/317.46
  6. Step 6: Final answer
    x = 432.73

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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.