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Finding the Fourth Proportional to 333.51, 502.80 and 310.02

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Solution

The fourth proportional to 333.51, 502.80 and 310.02 is: 467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.51 : 502.80 = 310.02 : x
  2. Step 2: Convert to fraction form
    333.51/502.80 = 310.02/x
  3. Step 3: Cross multiply
    333.51x = 502.80 × 310.02
  4. Step 4: Simplify right side
    333.51x = 155,878.06
  5. Step 5: Solve for x
    x = 155,878.06/333.51
  6. Step 6: Final answer
    x = 467.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.