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Finding the Fourth Proportional to 337.87, 508.93 and 317.37

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Solution

The fourth proportional to 337.87, 508.93 and 317.37 is: 478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.87 : 508.93 = 317.37 : x
  2. Step 2: Convert to fraction form
    337.87/508.93 = 317.37/x
  3. Step 3: Cross multiply
    337.87x = 508.93 × 317.37
  4. Step 4: Simplify right side
    337.87x = 161,519.11
  5. Step 5: Solve for x
    x = 161,519.11/337.87
  6. Step 6: Final answer
    x = 478.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.