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Finding the Fourth Proportional to 340.65, 507.58 and 304.30

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Solution

The fourth proportional to 340.65, 507.58 and 304.30 is: 453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.65 : 507.58 = 304.30 : x
  2. Step 2: Convert to fraction form
    340.65/507.58 = 304.30/x
  3. Step 3: Cross multiply
    340.65x = 507.58 × 304.30
  4. Step 4: Simplify right side
    340.65x = 154,456.59
  5. Step 5: Solve for x
    x = 154,456.59/340.65
  6. Step 6: Final answer
    x = 453.42

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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.