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Finding the Fourth Proportional to 310.04, 462.89 and 258.77

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Solution

The fourth proportional to 310.04, 462.89 and 258.77 is: 386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.04 : 462.89 = 258.77 : x
  2. Step 2: Convert to fraction form
    310.04/462.89 = 258.77/x
  3. Step 3: Cross multiply
    310.04x = 462.89 × 258.77
  4. Step 4: Simplify right side
    310.04x = 119,778.44
  5. Step 5: Solve for x
    x = 119,778.44/310.04
  6. Step 6: Final answer
    x = 386.34

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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.