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Finding the Fourth Proportional to 381.74, 569.70 and 372.02

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Solution

The fourth proportional to 381.74, 569.70 and 372.02 is: 555.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.74 : 569.70 = 372.02 : x
  2. Step 2: Convert to fraction form
    381.74/569.70 = 372.02/x
  3. Step 3: Cross multiply
    381.74x = 569.70 × 372.02
  4. Step 4: Simplify right side
    381.74x = 211,939.79
  5. Step 5: Solve for x
    x = 211,939.79/381.74
  6. Step 6: Final answer
    x = 555.19

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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.