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Finding the Fourth Proportional to 340.40, 507.21 and 304.05

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Solution

The fourth proportional to 340.40, 507.21 and 304.05 is: 453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.40 : 507.21 = 304.05 : x
  2. Step 2: Convert to fraction form
    340.40/507.21 = 304.05/x
  3. Step 3: Cross multiply
    340.40x = 507.21 × 304.05
  4. Step 4: Simplify right side
    340.40x = 154,217.20
  5. Step 5: Solve for x
    x = 154,217.20/340.40
  6. Step 6: Final answer
    x = 453.05

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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.