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Finding the Fourth Proportional to 485.90, 729.30 and 242.60

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Solution

The fourth proportional to 485.90, 729.30 and 242.60 is: 364.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.90 : 729.30 = 242.60 : x
  2. Step 2: Convert to fraction form
    485.90/729.30 = 242.60/x
  3. Step 3: Cross multiply
    485.90x = 729.30 × 242.60
  4. Step 4: Simplify right side
    485.90x = 176,928.18
  5. Step 5: Solve for x
    x = 176,928.18/485.90
  6. Step 6: Final answer
    x = 364.12

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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.