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Finding the Fourth Proportional to 380.10, 569.51 and 258.13

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Solution

The fourth proportional to 380.10, 569.51 and 258.13 is: 386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.10 : 569.51 = 258.13 : x
  2. Step 2: Convert to fraction form
    380.10/569.51 = 258.13/x
  3. Step 3: Cross multiply
    380.10x = 569.51 × 258.13
  4. Step 4: Simplify right side
    380.10x = 147,007.62
  5. Step 5: Solve for x
    x = 147,007.62/380.10
  6. Step 6: Final answer
    x = 386.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.