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Finding the Fourth Proportional to 369.71, 557.17 and 333.19

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Solution

The fourth proportional to 369.71, 557.17 and 333.19 is: 502.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.71 : 557.17 = 333.19 : x
  2. Step 2: Convert to fraction form
    369.71/557.17 = 333.19/x
  3. Step 3: Cross multiply
    369.71x = 557.17 × 333.19
  4. Step 4: Simplify right side
    369.71x = 185,643.47
  5. Step 5: Solve for x
    x = 185,643.47/369.71
  6. Step 6: Final answer
    x = 502.13

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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.