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Finding the Fourth Proportional to 380.52, 569.70 and 258.60

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Solution

The fourth proportional to 380.52, 569.70 and 258.60 is: 387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.52 : 569.70 = 258.60 : x
  2. Step 2: Convert to fraction form
    380.52/569.70 = 258.60/x
  3. Step 3: Cross multiply
    380.52x = 569.70 × 258.60
  4. Step 4: Simplify right side
    380.52x = 147,324.42
  5. Step 5: Solve for x
    x = 147,324.42/380.52
  6. Step 6: Final answer
    x = 387.17

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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.