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Finding the Fourth Proportional to 485.87, 728.93 and 242.60

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Solution

The fourth proportional to 485.87, 728.93 and 242.60 is: 363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.87 : 728.93 = 242.60 : x
  2. Step 2: Convert to fraction form
    485.87/728.93 = 242.60/x
  3. Step 3: Cross multiply
    485.87x = 728.93 × 242.60
  4. Step 4: Simplify right side
    485.87x = 176,835.38
  5. Step 5: Solve for x
    x = 176,835.38/485.87
  6. Step 6: Final answer
    x = 363.96

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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.