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Finding the Fourth Proportional to 460.21, 690.38 and 135.53

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Solution

The fourth proportional to 460.21, 690.38 and 135.53 is: 203.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.21 : 690.38 = 135.53 : x
  2. Step 2: Convert to fraction form
    460.21/690.38 = 135.53/x
  3. Step 3: Cross multiply
    460.21x = 690.38 × 135.53
  4. Step 4: Simplify right side
    460.21x = 93,566.52
  5. Step 5: Solve for x
    x = 93,566.52/460.21
  6. Step 6: Final answer
    x = 203.31

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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.