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Finding the Fourth Proportional to 337.64, 507.45 and 328.55

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Solution

The fourth proportional to 337.64, 507.45 and 328.55 is: 493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.64 : 507.45 = 328.55 : x
  2. Step 2: Convert to fraction form
    337.64/507.45 = 328.55/x
  3. Step 3: Cross multiply
    337.64x = 507.45 × 328.55
  4. Step 4: Simplify right side
    337.64x = 166,718.52
  5. Step 5: Solve for x
    x = 166,718.52/337.64
  6. Step 6: Final answer
    x = 493.78

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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.