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Finding the Fourth Proportional to 337.94, 507.51 and 322.55

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Solution

The fourth proportional to 337.94, 507.51 and 322.55 is: 484.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.94 : 507.51 = 322.55 : x
  2. Step 2: Convert to fraction form
    337.94/507.51 = 322.55/x
  3. Step 3: Cross multiply
    337.94x = 507.51 × 322.55
  4. Step 4: Simplify right side
    337.94x = 163,694.81
  5. Step 5: Solve for x
    x = 163,694.81/337.94
  6. Step 6: Final answer
    x = 484.40

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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.