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Finding the Fourth Proportional to 310.02, 428.28 and 240.36

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Solution

The fourth proportional to 310.02, 428.28 and 240.36 is: 332.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.02 : 428.28 = 240.36 : x
  2. Step 2: Convert to fraction form
    310.02/428.28 = 240.36/x
  3. Step 3: Cross multiply
    310.02x = 428.28 × 240.36
  4. Step 4: Simplify right side
    310.02x = 102,941.38
  5. Step 5: Solve for x
    x = 102,941.38/310.02
  6. Step 6: Final answer
    x = 332.05

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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.