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Finding the Fourth Proportional to 340.34, 507.05 and 328.74

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Solution

The fourth proportional to 340.34, 507.05 and 328.74 is: 489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.34 : 507.05 = 328.74 : x
  2. Step 2: Convert to fraction form
    340.34/507.05 = 328.74/x
  3. Step 3: Cross multiply
    340.34x = 507.05 × 328.74
  4. Step 4: Simplify right side
    340.34x = 166,685.97
  5. Step 5: Solve for x
    x = 166,685.97/340.34
  6. Step 6: Final answer
    x = 489.76

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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.