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Finding the Fourth Proportional to 466.78, 699.76 and 235.35

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Solution

The fourth proportional to 466.78, 699.76 and 235.35 is: 352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.78 : 699.76 = 235.35 : x
  2. Step 2: Convert to fraction form
    466.78/699.76 = 235.35/x
  3. Step 3: Cross multiply
    466.78x = 699.76 × 235.35
  4. Step 4: Simplify right side
    466.78x = 164,688.52
  5. Step 5: Solve for x
    x = 164,688.52/466.78
  6. Step 6: Final answer
    x = 352.82

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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.