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Finding the Fourth Proportional to 369.55, 557 and 353.08

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Solution

The fourth proportional to 369.55, 557 and 353.08 is: 532.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.55 : 557 = 353.08 : x
  2. Step 2: Convert to fraction form
    369.55/557 = 353.08/x
  3. Step 3: Cross multiply
    369.55x = 557 × 353.08
  4. Step 4: Simplify right side
    369.55x = 196,665.56
  5. Step 5: Solve for x
    x = 196,665.56/369.55
  6. Step 6: Final answer
    x = 532.18

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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.