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Finding the Fourth Proportional to 466.35, 699.84 and 258.20

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Solution

The fourth proportional to 466.35, 699.84 and 258.20 is: 387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.35 : 699.84 = 258.20 : x
  2. Step 2: Convert to fraction form
    466.35/699.84 = 258.20/x
  3. Step 3: Cross multiply
    466.35x = 699.84 × 258.20
  4. Step 4: Simplify right side
    466.35x = 180,701.02
  5. Step 5: Solve for x
    x = 180,701.02/466.35
  6. Step 6: Final answer
    x = 387.48

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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.