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Finding the Fourth Proportional to 340.01, 507.80 and 321.38

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Solution

The fourth proportional to 340.01, 507.80 and 321.38 is: 479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.01 : 507.80 = 321.38 : x
  2. Step 2: Convert to fraction form
    340.01/507.80 = 321.38/x
  3. Step 3: Cross multiply
    340.01x = 507.80 × 321.38
  4. Step 4: Simplify right side
    340.01x = 163,196.76
  5. Step 5: Solve for x
    x = 163,196.76/340.01
  6. Step 6: Final answer
    x = 479.98

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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.