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Finding the Fourth Proportional to 485.47, 727.62 and 242.29

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Solution

The fourth proportional to 485.47, 727.62 and 242.29 is: 363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.47 : 727.62 = 242.29 : x
  2. Step 2: Convert to fraction form
    485.47/727.62 = 242.29/x
  3. Step 3: Cross multiply
    485.47x = 727.62 × 242.29
  4. Step 4: Simplify right side
    485.47x = 176,295.05
  5. Step 5: Solve for x
    x = 176,295.05/485.47
  6. Step 6: Final answer
    x = 363.14

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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.