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Finding the Fourth Proportional to 340, 507.02 and 321.80

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Solution

The fourth proportional to 340, 507.02 and 321.80 is: 479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    340 : 507.02 = 321.80 : x
  2. Step 2: Convert to fraction form
    340/507.02 = 321.80/x
  3. Step 3: Cross multiply
    340x = 507.02 × 321.80
  4. Step 4: Simplify right side
    340x = 163,159.04
  5. Step 5: Solve for x
    x = 163,159.04/340
  6. Step 6: Final answer
    x = 479.88

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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.