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Finding the Fourth Proportional to 337.77, 507.06 and 323.19

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Solution

The fourth proportional to 337.77, 507.06 and 323.19 is: 485.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.77 : 507.06 = 323.19 : x
  2. Step 2: Convert to fraction form
    337.77/507.06 = 323.19/x
  3. Step 3: Cross multiply
    337.77x = 507.06 × 323.19
  4. Step 4: Simplify right side
    337.77x = 163,876.72
  5. Step 5: Solve for x
    x = 163,876.72/337.77
  6. Step 6: Final answer
    x = 485.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.