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Finding the Fourth Proportional to 310.02, 461.10 and 303.54

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Solution

The fourth proportional to 310.02, 461.10 and 303.54 is: 451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.02 : 461.10 = 303.54 : x
  2. Step 2: Convert to fraction form
    310.02/461.10 = 303.54/x
  3. Step 3: Cross multiply
    310.02x = 461.10 × 303.54
  4. Step 4: Simplify right side
    310.02x = 139,962.29
  5. Step 5: Solve for x
    x = 139,962.29/310.02
  6. Step 6: Final answer
    x = 451.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.