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Finding the Fourth Proportional to 345.30, 515.43 and 304.30

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Solution

The fourth proportional to 345.30, 515.43 and 304.30 is: 454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.30 : 515.43 = 304.30 : x
  2. Step 2: Convert to fraction form
    345.30/515.43 = 304.30/x
  3. Step 3: Cross multiply
    345.30x = 515.43 × 304.30
  4. Step 4: Simplify right side
    345.30x = 156,842.92
  5. Step 5: Solve for x
    x = 156,842.92/345.30
  6. Step 6: Final answer
    x = 454.22

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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.