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Finding the Fourth Proportional to 486.31, 728.75 and 242.50

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Solution

The fourth proportional to 486.31, 728.75 and 242.50 is: 363.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.31 : 728.75 = 242.50 : x
  2. Step 2: Convert to fraction form
    486.31/728.75 = 242.50/x
  3. Step 3: Cross multiply
    486.31x = 728.75 × 242.50
  4. Step 4: Simplify right side
    486.31x = 176,717.02
  5. Step 5: Solve for x
    x = 176,717.02/486.31
  6. Step 6: Final answer
    x = 363.39

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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.