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Finding the Fourth Proportional to 466, 699.28 and 260.48

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Solution

The fourth proportional to 466, 699.28 and 260.48 is: 390.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    466 : 699.28 = 260.48 : x
  2. Step 2: Convert to fraction form
    466/699.28 = 260.48/x
  3. Step 3: Cross multiply
    466x = 699.28 × 260.48
  4. Step 4: Simplify right side
    466x = 182,148.45
  5. Step 5: Solve for x
    x = 182,148.45/466
  6. Step 6: Final answer
    x = 390.88

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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.