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Finding the Fourth Proportional to 482.25, 723.36 and 135.58

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Solution

The fourth proportional to 482.25, 723.36 and 135.58 is: 203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.25 : 723.36 = 135.58 : x
  2. Step 2: Convert to fraction form
    482.25/723.36 = 135.58/x
  3. Step 3: Cross multiply
    482.25x = 723.36 × 135.58
  4. Step 4: Simplify right side
    482.25x = 98,071.14
  5. Step 5: Solve for x
    x = 98,071.14/482.25
  6. Step 6: Final answer
    x = 203.36

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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.