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Finding the Fourth Proportional to 460.06, 689.88 and 147.62

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Solution

The fourth proportional to 460.06, 689.88 and 147.62 is: 221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.06 : 689.88 = 147.62 : x
  2. Step 2: Convert to fraction form
    460.06/689.88 = 147.62/x
  3. Step 3: Cross multiply
    460.06x = 689.88 × 147.62
  4. Step 4: Simplify right side
    460.06x = 101,840.09
  5. Step 5: Solve for x
    x = 101,840.09/460.06
  6. Step 6: Final answer
    x = 221.36

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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.