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Finding the Fourth Proportional to 353.70, 532.80 and 305.10

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Solution

The fourth proportional to 353.70, 532.80 and 305.10 is: 459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.70 : 532.80 = 305.10 : x
  2. Step 2: Convert to fraction form
    353.70/532.80 = 305.10/x
  3. Step 3: Cross multiply
    353.70x = 532.80 × 305.10
  4. Step 4: Simplify right side
    353.70x = 162,557.28
  5. Step 5: Solve for x
    x = 162,557.28/353.70
  6. Step 6: Final answer
    x = 459.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.