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Finding the Fourth Proportional to 362.85, 501.08 and 310.08

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Solution

The fourth proportional to 362.85, 501.08 and 310.08 is: 428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.85 : 501.08 = 310.08 : x
  2. Step 2: Convert to fraction form
    362.85/501.08 = 310.08/x
  3. Step 3: Cross multiply
    362.85x = 501.08 × 310.08
  4. Step 4: Simplify right side
    362.85x = 155,374.89
  5. Step 5: Solve for x
    x = 155,374.89/362.85
  6. Step 6: Final answer
    x = 428.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.