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Finding the Fourth Proportional to 483.02, 724.33 and 186.36

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Solution

The fourth proportional to 483.02, 724.33 and 186.36 is: 279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.02 : 724.33 = 186.36 : x
  2. Step 2: Convert to fraction form
    483.02/724.33 = 186.36/x
  3. Step 3: Cross multiply
    483.02x = 724.33 × 186.36
  4. Step 4: Simplify right side
    483.02x = 134,985.21
  5. Step 5: Solve for x
    x = 134,985.21/483.02
  6. Step 6: Final answer
    x = 279.46

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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.