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Finding the Fourth Proportional to 395.60, 592.17 and 258.35

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Solution

The fourth proportional to 395.60, 592.17 and 258.35 is: 386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.60 : 592.17 = 258.35 : x
  2. Step 2: Convert to fraction form
    395.60/592.17 = 258.35/x
  3. Step 3: Cross multiply
    395.60x = 592.17 × 258.35
  4. Step 4: Simplify right side
    395.60x = 152,987.12
  5. Step 5: Solve for x
    x = 152,987.12/395.60
  6. Step 6: Final answer
    x = 386.72

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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.