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Finding the Fourth Proportional to 317.34, 473.61 and 309.15

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Solution

The fourth proportional to 317.34, 473.61 and 309.15 is: 461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.34 : 473.61 = 309.15 : x
  2. Step 2: Convert to fraction form
    317.34/473.61 = 309.15/x
  3. Step 3: Cross multiply
    317.34x = 473.61 × 309.15
  4. Step 4: Simplify right side
    317.34x = 146,416.53
  5. Step 5: Solve for x
    x = 146,416.53/317.34
  6. Step 6: Final answer
    x = 461.39

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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.