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Finding the Fourth Proportional to 460.16, 634.35 and 328.94

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Solution

The fourth proportional to 460.16, 634.35 and 328.94 is: 453.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.16 : 634.35 = 328.94 : x
  2. Step 2: Convert to fraction form
    460.16/634.35 = 328.94/x
  3. Step 3: Cross multiply
    460.16x = 634.35 × 328.94
  4. Step 4: Simplify right side
    460.16x = 208,663.09
  5. Step 5: Solve for x
    x = 208,663.09/460.16
  6. Step 6: Final answer
    x = 453.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.