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Finding the Fourth Proportional to 309.22, 463.15 and 258.19

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Solution

The fourth proportional to 309.22, 463.15 and 258.19 is: 386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.22 : 463.15 = 258.19 : x
  2. Step 2: Convert to fraction form
    309.22/463.15 = 258.19/x
  3. Step 3: Cross multiply
    309.22x = 463.15 × 258.19
  4. Step 4: Simplify right side
    309.22x = 119,580.70
  5. Step 5: Solve for x
    x = 119,580.70/309.22
  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.